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Finding the Fourth Proportional to 13,712.40, 20,552.40 and 5,814.90

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Solution

The fourth proportional to 13,712.40, 20,552.40 and 5,814.90 is: 8,715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.40 : 20,552.40 = 5,814.90 : x
  2. Step 2: Convert to fraction form
    13,712.40/20,552.40 = 5,814.90/x
  3. Step 3: Cross multiply
    13,712.40x = 20,552.40 × 5,814.90
  4. Step 4: Simplify right side
    13,712.40x = 119,510,150.76
  5. Step 5: Solve for x
    x = 119,510,150.76/13,712.40
  6. Step 6: Final answer
    x = 8,715.48

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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.