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Finding the Fourth Proportional to 3,748, 5,618.16 and 1,558

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Solution

The fourth proportional to 3,748, 5,618.16 and 1,558 is: 2,335.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748 : 5,618.16 = 1,558 : x
  2. Step 2: Convert to fraction form
    3,748/5,618.16 = 1,558/x
  3. Step 3: Cross multiply
    3,748x = 5,618.16 × 1,558
  4. Step 4: Simplify right side
    3,748x = 8,753,093.28
  5. Step 5: Solve for x
    x = 8,753,093.28/3,748
  6. Step 6: Final answer
    x = 2,335.40

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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.