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Finding the Fourth Proportional to 3,389.52, 5,085.48 and 1,657.68

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Solution

The fourth proportional to 3,389.52, 5,085.48 and 1,657.68 is: 2,487.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.52 : 5,085.48 = 1,657.68 : x
  2. Step 2: Convert to fraction form
    3,389.52/5,085.48 = 1,657.68/x
  3. Step 3: Cross multiply
    3,389.52x = 5,085.48 × 1,657.68
  4. Step 4: Simplify right side
    3,389.52x = 8,430,098.49
  5. Step 5: Solve for x
    x = 8,430,098.49/3,389.52
  6. Step 6: Final answer
    x = 2,487.11

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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.