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Finding the Fourth Proportional to 21,702.64, 29,934.36 and 13,323.76

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Solution

The fourth proportional to 21,702.64, 29,934.36 and 13,323.76 is: 18,377.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.64 : 29,934.36 = 13,323.76 : x
  2. Step 2: Convert to fraction form
    21,702.64/29,934.36 = 13,323.76/x
  3. Step 3: Cross multiply
    21,702.64x = 29,934.36 × 13,323.76
  4. Step 4: Simplify right side
    21,702.64x = 398,838,228.39
  5. Step 5: Solve for x
    x = 398,838,228.39/21,702.64
  6. Step 6: Final answer
    x = 18,377.41

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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.