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Finding the Fourth Proportional to 9,152.80, 13,730.16 and 3,959.20

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Solution

The fourth proportional to 9,152.80, 13,730.16 and 3,959.20 is: 5,939.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.80 : 13,730.16 = 3,959.20 : x
  2. Step 2: Convert to fraction form
    9,152.80/13,730.16 = 3,959.20/x
  3. Step 3: Cross multiply
    9,152.80x = 13,730.16 × 3,959.20
  4. Step 4: Simplify right side
    9,152.80x = 54,360,449.47
  5. Step 5: Solve for x
    x = 54,360,449.47/9,152.80
  6. Step 6: Final answer
    x = 5,939.22

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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.