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Finding the Fourth Proportional to 8,428.16, 12,632.16 and 5,959.28

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Solution

The fourth proportional to 8,428.16, 12,632.16 and 5,959.28 is: 8,931.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.16 : 12,632.16 = 5,959.28 : x
  2. Step 2: Convert to fraction form
    8,428.16/12,632.16 = 5,959.28/x
  3. Step 3: Cross multiply
    8,428.16x = 12,632.16 × 5,959.28
  4. Step 4: Simplify right side
    8,428.16x = 75,278,578.44
  5. Step 5: Solve for x
    x = 75,278,578.44/8,428.16
  6. Step 6: Final answer
    x = 8,931.79

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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.