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Finding the Fourth Proportional to 9,910.40, 14,866.14 and 7,129.40

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Solution

The fourth proportional to 9,910.40, 14,866.14 and 7,129.40 is: 10,694.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.40 : 14,866.14 = 7,129.40 : x
  2. Step 2: Convert to fraction form
    9,910.40/14,866.14 = 7,129.40/x
  3. Step 3: Cross multiply
    9,910.40x = 14,866.14 × 7,129.40
  4. Step 4: Simplify right side
    9,910.40x = 105,986,658.52
  5. Step 5: Solve for x
    x = 105,986,658.52/9,910.40
  6. Step 6: Final answer
    x = 10,694.49

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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.