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Finding the Fourth Proportional to 21,702.40, 29,947.68 and 14,638.40

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Solution

The fourth proportional to 21,702.40, 29,947.68 and 14,638.40 is: 20,199.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.40 : 29,947.68 = 14,638.40 : x
  2. Step 2: Convert to fraction form
    21,702.40/29,947.68 = 14,638.40/x
  3. Step 3: Cross multiply
    21,702.40x = 29,947.68 × 14,638.40
  4. Step 4: Simplify right side
    21,702.40x = 438,386,118.91
  5. Step 5: Solve for x
    x = 438,386,118.91/21,702.40
  6. Step 6: Final answer
    x = 20,199.89

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1.5x scale

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.