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Finding the Fourth Proportional to 13,337.60, 20,006.40 and 6,412.80

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Solution

The fourth proportional to 13,337.60, 20,006.40 and 6,412.80 is: 9,619.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,337.60 : 20,006.40 = 6,412.80 : x
  2. Step 2: Convert to fraction form
    13,337.60/20,006.40 = 6,412.80/x
  3. Step 3: Cross multiply
    13,337.60x = 20,006.40 × 6,412.80
  4. Step 4: Simplify right side
    13,337.60x = 128,297,041.92
  5. Step 5: Solve for x
    x = 128,297,041.92/13,337.60
  6. Step 6: Final answer
    x = 9,619.20

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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.