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Finding the Fourth Proportional to 13,710.02, 20,565.03 and 7,854.14

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Solution

The fourth proportional to 13,710.02, 20,565.03 and 7,854.14 is: 11,781.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710.02 : 20,565.03 = 7,854.14 : x
  2. Step 2: Convert to fraction form
    13,710.02/20,565.03 = 7,854.14/x
  3. Step 3: Cross multiply
    13,710.02x = 20,565.03 × 7,854.14
  4. Step 4: Simplify right side
    13,710.02x = 161,520,624.72
  5. Step 5: Solve for x
    x = 161,520,624.72/13,710.02
  6. Step 6: Final answer
    x = 11,781.21

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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.