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Finding the Fourth Proportional to 13,358.47, 20,041.12 and 7,816.47

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Solution

The fourth proportional to 13,358.47, 20,041.12 and 7,816.47 is: 11,726.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,358.47 : 20,041.12 = 7,816.47 : x
  2. Step 2: Convert to fraction form
    13,358.47/20,041.12 = 7,816.47/x
  3. Step 3: Cross multiply
    13,358.47x = 20,041.12 × 7,816.47
  4. Step 4: Simplify right side
    13,358.47x = 156,650,916.96
  5. Step 5: Solve for x
    x = 156,650,916.96/13,358.47
  6. Step 6: Final answer
    x = 11,726.71

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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.