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Finding the Fourth Proportional to 13,528, 20,292 and 4,761.91

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Solution

The fourth proportional to 13,528, 20,292 and 4,761.91 is: 7,142.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,528 : 20,292 = 4,761.91 : x
  2. Step 2: Convert to fraction form
    13,528/20,292 = 4,761.91/x
  3. Step 3: Cross multiply
    13,528x = 20,292 × 4,761.91
  4. Step 4: Simplify right side
    13,528x = 96,628,677.72
  5. Step 5: Solve for x
    x = 96,628,677.72/13,528
  6. Step 6: Final answer
    x = 7,142.87

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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.