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Finding the Fourth Proportional to 15,501, 23,251.68 and 3,814.20

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Solution

The fourth proportional to 15,501, 23,251.68 and 3,814.20 is: 5,721.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,501 : 23,251.68 = 3,814.20 : x
  2. Step 2: Convert to fraction form
    15,501/23,251.68 = 3,814.20/x
  3. Step 3: Cross multiply
    15,501x = 23,251.68 × 3,814.20
  4. Step 4: Simplify right side
    15,501x = 88,686,557.86
  5. Step 5: Solve for x
    x = 88,686,557.86/15,501
  6. Step 6: Final answer
    x = 5,721.34

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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.