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Finding the Fourth Proportional to 27,143.40, 40,702.95 and 12,344.70

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Solution

The fourth proportional to 27,143.40, 40,702.95 and 12,344.70 is: 18,511.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,143.40 : 40,702.95 = 12,344.70 : x
  2. Step 2: Convert to fraction form
    27,143.40/40,702.95 = 12,344.70/x
  3. Step 3: Cross multiply
    27,143.40x = 40,702.95 × 12,344.70
  4. Step 4: Simplify right side
    27,143.40x = 502,465,706.87
  5. Step 5: Solve for x
    x = 502,465,706.87/27,143.40
  6. Step 6: Final answer
    x = 18,511.52

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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.