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Finding the Fourth Proportional to 7,842.49, 11,763.63 and 1,999.08

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Solution

The fourth proportional to 7,842.49, 11,763.63 and 1,999.08 is: 2,998.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.49 : 11,763.63 = 1,999.08 : x
  2. Step 2: Convert to fraction form
    7,842.49/11,763.63 = 1,999.08/x
  3. Step 3: Cross multiply
    7,842.49x = 11,763.63 × 1,999.08
  4. Step 4: Simplify right side
    7,842.49x = 23,516,437.46
  5. Step 5: Solve for x
    x = 23,516,437.46/7,842.49
  6. Step 6: Final answer
    x = 2,998.59

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.