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Finding the Fourth Proportional to 21,984, 30,337.02 and 12,908.13

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Solution

The fourth proportional to 21,984, 30,337.02 and 12,908.13 is: 17,812.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,984 : 30,337.02 = 12,908.13 : x
  2. Step 2: Convert to fraction form
    21,984/30,337.02 = 12,908.13/x
  3. Step 3: Cross multiply
    21,984x = 30,337.02 × 12,908.13
  4. Step 4: Simplify right side
    21,984x = 391,594,197.97
  5. Step 5: Solve for x
    x = 391,594,197.97/21,984
  6. Step 6: Final answer
    x = 17,812.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.