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Finding the Fourth Proportional to 14,101, 21,129.54 and 5,331.14

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Solution

The fourth proportional to 14,101, 21,129.54 and 5,331.14 is: 7,988.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101 : 21,129.54 = 5,331.14 : x
  2. Step 2: Convert to fraction form
    14,101/21,129.54 = 5,331.14/x
  3. Step 3: Cross multiply
    14,101x = 21,129.54 × 5,331.14
  4. Step 4: Simplify right side
    14,101x = 112,644,535.88
  5. Step 5: Solve for x
    x = 112,644,535.88/14,101
  6. Step 6: Final answer
    x = 7,988.41

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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.