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Finding the Fourth Proportional to 21,702.20, 32,504.70 and 12,954.20

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Solution

The fourth proportional to 21,702.20, 32,504.70 and 12,954.20 is: 19,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.20 : 32,504.70 = 12,954.20 : x
  2. Step 2: Convert to fraction form
    21,702.20/32,504.70 = 12,954.20/x
  3. Step 3: Cross multiply
    21,702.20x = 32,504.70 × 12,954.20
  4. Step 4: Simplify right side
    21,702.20x = 421,072,384.74
  5. Step 5: Solve for x
    x = 421,072,384.74/21,702.20
  6. Step 6: Final answer
    x = 19,402.29

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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.