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Finding the Fourth Proportional to 13,475.80, 20,206.14 and 10,348

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Solution

The fourth proportional to 13,475.80, 20,206.14 and 10,348 is: 15,516.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475.80 : 20,206.14 = 10,348 : x
  2. Step 2: Convert to fraction form
    13,475.80/20,206.14 = 10,348/x
  3. Step 3: Cross multiply
    13,475.80x = 20,206.14 × 10,348
  4. Step 4: Simplify right side
    13,475.80x = 209,093,136.72
  5. Step 5: Solve for x
    x = 209,093,136.72/13,475.80
  6. Step 6: Final answer
    x = 15,516.19

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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.