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Finding the Fourth Proportional to 10,978.80, 16,469.40 and 10,633.20

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Solution

The fourth proportional to 10,978.80, 16,469.40 and 10,633.20 is: 15,950.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,978.80 : 16,469.40 = 10,633.20 : x
  2. Step 2: Convert to fraction form
    10,978.80/16,469.40 = 10,633.20/x
  3. Step 3: Cross multiply
    10,978.80x = 16,469.40 × 10,633.20
  4. Step 4: Simplify right side
    10,978.80x = 175,122,424.08
  5. Step 5: Solve for x
    x = 175,122,424.08/10,978.80
  6. Step 6: Final answer
    x = 15,950.96

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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.