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Finding the Fourth Proportional to 8,480, 12,711.36 and 3,552.32

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Solution

The fourth proportional to 8,480, 12,711.36 and 3,552.32 is: 5,324.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480 : 12,711.36 = 3,552.32 : x
  2. Step 2: Convert to fraction form
    8,480/12,711.36 = 3,552.32/x
  3. Step 3: Cross multiply
    8,480x = 12,711.36 × 3,552.32
  4. Step 4: Simplify right side
    8,480x = 45,154,818.36
  5. Step 5: Solve for x
    x = 45,154,818.36/8,480
  6. Step 6: Final answer
    x = 5,324.86

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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.