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Finding the Fourth Proportional to 10,670.80, 16,006.20 and 6,523.60

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Solution

The fourth proportional to 10,670.80, 16,006.20 and 6,523.60 is: 9,785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,670.80 : 16,006.20 = 6,523.60 : x
  2. Step 2: Convert to fraction form
    10,670.80/16,006.20 = 6,523.60/x
  3. Step 3: Cross multiply
    10,670.80x = 16,006.20 × 6,523.60
  4. Step 4: Simplify right side
    10,670.80x = 104,418,046.32
  5. Step 5: Solve for x
    x = 104,418,046.32/10,670.80
  6. Step 6: Final answer
    x = 9,785.40

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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.