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Finding the Fourth Proportional to 9,248.68, 12,763.20 and 5,057.20

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Solution

The fourth proportional to 9,248.68, 12,763.20 and 5,057.20 is: 6,978.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.68 : 12,763.20 = 5,057.20 : x
  2. Step 2: Convert to fraction form
    9,248.68/12,763.20 = 5,057.20/x
  3. Step 3: Cross multiply
    9,248.68x = 12,763.20 × 5,057.20
  4. Step 4: Simplify right side
    9,248.68x = 64,546,055.04
  5. Step 5: Solve for x
    x = 64,546,055.04/9,248.68
  6. Step 6: Final answer
    x = 6,978.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.