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Finding the Fourth Proportional to 10,957.60, 16,412.10 and 4,380.40

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Solution

The fourth proportional to 10,957.60, 16,412.10 and 4,380.40 is: 6,560.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.60 : 16,412.10 = 4,380.40 : x
  2. Step 2: Convert to fraction form
    10,957.60/16,412.10 = 4,380.40/x
  3. Step 3: Cross multiply
    10,957.60x = 16,412.10 × 4,380.40
  4. Step 4: Simplify right side
    10,957.60x = 71,891,562.84
  5. Step 5: Solve for x
    x = 71,891,562.84/10,957.60
  6. Step 6: Final answer
    x = 6,560.89

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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.