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Finding the Fourth Proportional to 9,280.16, 12,799.80 and 5,920.16

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Solution

The fourth proportional to 9,280.16, 12,799.80 and 5,920.16 is: 8,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.16 : 12,799.80 = 5,920.16 : x
  2. Step 2: Convert to fraction form
    9,280.16/12,799.80 = 5,920.16/x
  3. Step 3: Cross multiply
    9,280.16x = 12,799.80 × 5,920.16
  4. Step 4: Simplify right side
    9,280.16x = 75,776,863.97
  5. Step 5: Solve for x
    x = 75,776,863.97/9,280.16
  6. Step 6: Final answer
    x = 8,165.47

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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.