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Finding the Fourth Proportional to 21,366.68, 29,484.02 and 12,414

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Solution

The fourth proportional to 21,366.68, 29,484.02 and 12,414 is: 17,130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,366.68 : 29,484.02 = 12,414 : x
  2. Step 2: Convert to fraction form
    21,366.68/29,484.02 = 12,414/x
  3. Step 3: Cross multiply
    21,366.68x = 29,484.02 × 12,414
  4. Step 4: Simplify right side
    21,366.68x = 366,014,624.28
  5. Step 5: Solve for x
    x = 366,014,624.28/21,366.68
  6. Step 6: Final answer
    x = 17,130.16

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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.