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Finding the Fourth Proportional to 13,712.80, 20,564.40 and 7,136.80

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Solution

The fourth proportional to 13,712.80, 20,564.40 and 7,136.80 is: 10,702.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.80 : 20,564.40 = 7,136.80 : x
  2. Step 2: Convert to fraction form
    13,712.80/20,564.40 = 7,136.80/x
  3. Step 3: Cross multiply
    13,712.80x = 20,564.40 × 7,136.80
  4. Step 4: Simplify right side
    13,712.80x = 146,764,009.92
  5. Step 5: Solve for x
    x = 146,764,009.92/13,712.80
  6. Step 6: Final answer
    x = 10,702.70

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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.