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Finding the Fourth Proportional to 13,815.16, 20,731.24 and 10,987.24

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Solution

The fourth proportional to 13,815.16, 20,731.24 and 10,987.24 is: 16,487.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.16 : 20,731.24 = 10,987.24 : x
  2. Step 2: Convert to fraction form
    13,815.16/20,731.24 = 10,987.24/x
  3. Step 3: Cross multiply
    13,815.16x = 20,731.24 × 10,987.24
  4. Step 4: Simplify right side
    13,815.16x = 227,779,109.38
  5. Step 5: Solve for x
    x = 227,779,109.38/13,815.16
  6. Step 6: Final answer
    x = 16,487.62

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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.