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Finding the Fourth Proportional to 10,565.80, 15,848.70 and 9,269.80

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Solution

The fourth proportional to 10,565.80, 15,848.70 and 9,269.80 is: 13,904.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,565.80 : 15,848.70 = 9,269.80 : x
  2. Step 2: Convert to fraction form
    10,565.80/15,848.70 = 9,269.80/x
  3. Step 3: Cross multiply
    10,565.80x = 15,848.70 × 9,269.80
  4. Step 4: Simplify right side
    10,565.80x = 146,914,279.26
  5. Step 5: Solve for x
    x = 146,914,279.26/10,565.80
  6. Step 6: Final answer
    x = 13,904.70

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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.