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Finding the Fourth Proportional to 13,702.50, 20,512.13 and 8,775.60

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Solution

The fourth proportional to 13,702.50, 20,512.13 and 8,775.60 is: 13,136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.50 : 20,512.13 = 8,775.60 : x
  2. Step 2: Convert to fraction form
    13,702.50/20,512.13 = 8,775.60/x
  3. Step 3: Cross multiply
    13,702.50x = 20,512.13 × 8,775.60
  4. Step 4: Simplify right side
    13,702.50x = 180,006,248.03
  5. Step 5: Solve for x
    x = 180,006,248.03/13,702.50
  6. Step 6: Final answer
    x = 13,136.74

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1.5x scale

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.