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Finding the Fourth Proportional to 3,744.83, 5,618.70 and 1,553

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Solution

The fourth proportional to 3,744.83, 5,618.70 and 1,553 is: 2,330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.83 : 5,618.70 = 1,553 : x
  2. Step 2: Convert to fraction form
    3,744.83/5,618.70 = 1,553/x
  3. Step 3: Cross multiply
    3,744.83x = 5,618.70 × 1,553
  4. Step 4: Simplify right side
    3,744.83x = 8,725,841.10
  5. Step 5: Solve for x
    x = 8,725,841.10/3,744.83
  6. Step 6: Final answer
    x = 2,330.10

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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.