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Finding the Fourth Proportional to 13,438.68, 20,128.68 and 9,531.24

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Solution

The fourth proportional to 13,438.68, 20,128.68 and 9,531.24 is: 14,276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438.68 : 20,128.68 = 9,531.24 : x
  2. Step 2: Convert to fraction form
    13,438.68/20,128.68 = 9,531.24/x
  3. Step 3: Cross multiply
    13,438.68x = 20,128.68 × 9,531.24
  4. Step 4: Simplify right side
    13,438.68x = 191,851,279.96
  5. Step 5: Solve for x
    x = 191,851,279.96/13,438.68
  6. Step 6: Final answer
    x = 14,276.05

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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.