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Finding the Fourth Proportional to 9,966.86, 13,742.87 and 7,444.73

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Solution

The fourth proportional to 9,966.86, 13,742.87 and 7,444.73 is: 10,265.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.86 : 13,742.87 = 7,444.73 : x
  2. Step 2: Convert to fraction form
    9,966.86/13,742.87 = 7,444.73/x
  3. Step 3: Cross multiply
    9,966.86x = 13,742.87 × 7,444.73
  4. Step 4: Simplify right side
    9,966.86x = 102,311,876.40
  5. Step 5: Solve for x
    x = 102,311,876.40/9,966.86
  6. Step 6: Final answer
    x = 10,265.20

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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.