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Finding the Fourth Proportional to 10,654.80, 15,967.80 and 9,416.40

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Solution

The fourth proportional to 10,654.80, 15,967.80 and 9,416.40 is: 14,111.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.80 : 15,967.80 = 9,416.40 : x
  2. Step 2: Convert to fraction form
    10,654.80/15,967.80 = 9,416.40/x
  3. Step 3: Cross multiply
    10,654.80x = 15,967.80 × 9,416.40
  4. Step 4: Simplify right side
    10,654.80x = 150,359,191.92
  5. Step 5: Solve for x
    x = 150,359,191.92/10,654.80
  6. Step 6: Final answer
    x = 14,111.87

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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.