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Finding the Fourth Proportional to 7,842.42, 10,822.41 and 4,305.42

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Solution

The fourth proportional to 7,842.42, 10,822.41 and 4,305.42 is: 5,941.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.42 : 10,822.41 = 4,305.42 : x
  2. Step 2: Convert to fraction form
    7,842.42/10,822.41 = 4,305.42/x
  3. Step 3: Cross multiply
    7,842.42x = 10,822.41 × 4,305.42
  4. Step 4: Simplify right side
    7,842.42x = 46,595,020.46
  5. Step 5: Solve for x
    x = 46,595,020.46/7,842.42
  6. Step 6: Final answer
    x = 5,941.41

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.