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Finding the Fourth Proportional to 34,702.16, 47,893.32 and 20,560.40

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Solution

The fourth proportional to 34,702.16, 47,893.32 and 20,560.40 is: 28,375.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,702.16 : 47,893.32 = 20,560.40 : x
  2. Step 2: Convert to fraction form
    34,702.16/47,893.32 = 20,560.40/x
  3. Step 3: Cross multiply
    34,702.16x = 47,893.32 × 20,560.40
  4. Step 4: Simplify right side
    34,702.16x = 984,705,816.53
  5. Step 5: Solve for x
    x = 984,705,816.53/34,702.16
  6. Step 6: Final answer
    x = 28,375.92

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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.