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Finding the Fourth Proportional to 10,952.80, 16,407.60 and 6,557.20

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Solution

The fourth proportional to 10,952.80, 16,407.60 and 6,557.20 is: 9,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,952.80 : 16,407.60 = 6,557.20 : x
  2. Step 2: Convert to fraction form
    10,952.80/16,407.60 = 6,557.20/x
  3. Step 3: Cross multiply
    10,952.80x = 16,407.60 × 6,557.20
  4. Step 4: Simplify right side
    10,952.80x = 107,587,914.72
  5. Step 5: Solve for x
    x = 107,587,914.72/10,952.80
  6. Step 6: Final answer
    x = 9,822.87

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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.