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Finding the Fourth Proportional to 21,702.34, 29,948.95 and 12,750.66

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Solution

The fourth proportional to 21,702.34, 29,948.95 and 12,750.66 is: 17,595.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.34 : 29,948.95 = 12,750.66 : x
  2. Step 2: Convert to fraction form
    21,702.34/29,948.95 = 12,750.66/x
  3. Step 3: Cross multiply
    21,702.34x = 29,948.95 × 12,750.66
  4. Step 4: Simplify right side
    21,702.34x = 381,868,878.81
  5. Step 5: Solve for x
    x = 381,868,878.81/21,702.34
  6. Step 6: Final answer
    x = 17,595.75

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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.