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Finding the Fourth Proportional to 10,687.85, 14,744.92 and 7,104.54

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Solution

The fourth proportional to 10,687.85, 14,744.92 and 7,104.54 is: 9,801.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.85 : 14,744.92 = 7,104.54 : x
  2. Step 2: Convert to fraction form
    10,687.85/14,744.92 = 7,104.54/x
  3. Step 3: Cross multiply
    10,687.85x = 14,744.92 × 7,104.54
  4. Step 4: Simplify right side
    10,687.85x = 104,755,873.94
  5. Step 5: Solve for x
    x = 104,755,873.94/10,687.85
  6. Step 6: Final answer
    x = 9,801.40

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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.