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Finding the Fourth Proportional to 11,471.12, 17,214.24 and 6,280.64

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Solution

The fourth proportional to 11,471.12, 17,214.24 and 6,280.64 is: 9,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.12 : 17,214.24 = 6,280.64 : x
  2. Step 2: Convert to fraction form
    11,471.12/17,214.24 = 6,280.64/x
  3. Step 3: Cross multiply
    11,471.12x = 17,214.24 × 6,280.64
  4. Step 4: Simplify right side
    11,471.12x = 108,116,444.31
  5. Step 5: Solve for x
    x = 108,116,444.31/11,471.12
  6. Step 6: Final answer
    x = 9,425.10

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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.