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Finding the Fourth Proportional to 13,681.80, 20,565.90 and 12,904.20

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Solution

The fourth proportional to 13,681.80, 20,565.90 and 12,904.20 is: 19,397.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,681.80 : 20,565.90 = 12,904.20 : x
  2. Step 2: Convert to fraction form
    13,681.80/20,565.90 = 12,904.20/x
  3. Step 3: Cross multiply
    13,681.80x = 20,565.90 × 12,904.20
  4. Step 4: Simplify right side
    13,681.80x = 265,386,486.78
  5. Step 5: Solve for x
    x = 265,386,486.78/13,681.80
  6. Step 6: Final answer
    x = 19,397.04

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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.