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Finding the Fourth Proportional to 7,842.57, 11,769.93 and 4,090.65

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Solution

The fourth proportional to 7,842.57, 11,769.93 and 4,090.65 is: 6,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.57 : 11,769.93 = 4,090.65 : x
  2. Step 2: Convert to fraction form
    7,842.57/11,769.93 = 4,090.65/x
  3. Step 3: Cross multiply
    7,842.57x = 11,769.93 × 4,090.65
  4. Step 4: Simplify right side
    7,842.57x = 48,146,664.15
  5. Step 5: Solve for x
    x = 48,146,664.15/7,842.57
  6. Step 6: Final answer
    x = 6,139.14

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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.