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Finding the Fourth Proportional to 10,957.42, 16,420.52 and 8,449.12

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Solution

The fourth proportional to 10,957.42, 16,420.52 and 8,449.12 is: 12,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.42 : 16,420.52 = 8,449.12 : x
  2. Step 2: Convert to fraction form
    10,957.42/16,420.52 = 8,449.12/x
  3. Step 3: Cross multiply
    10,957.42x = 16,420.52 × 8,449.12
  4. Step 4: Simplify right side
    10,957.42x = 138,738,943.94
  5. Step 5: Solve for x
    x = 138,738,943.94/10,957.42
  6. Step 6: Final answer
    x = 12,661.64

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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.