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Finding the Fourth Proportional to 5,612.32, 8,418.50 and 1,716.71

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Solution

The fourth proportional to 5,612.32, 8,418.50 and 1,716.71 is: 2,575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.32 : 8,418.50 = 1,716.71 : x
  2. Step 2: Convert to fraction form
    5,612.32/8,418.50 = 1,716.71/x
  3. Step 3: Cross multiply
    5,612.32x = 8,418.50 × 1,716.71
  4. Step 4: Simplify right side
    5,612.32x = 14,452,123.14
  5. Step 5: Solve for x
    x = 14,452,123.14/5,612.32
  6. Step 6: Final answer
    x = 2,575.07

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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.