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Finding the Fourth Proportional to 3,748, 5,171.92 and 2,421.76

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Solution

The fourth proportional to 3,748, 5,171.92 and 2,421.76 is: 3,341.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748 : 5,171.92 = 2,421.76 : x
  2. Step 2: Convert to fraction form
    3,748/5,171.92 = 2,421.76/x
  3. Step 3: Cross multiply
    3,748x = 5,171.92 × 2,421.76
  4. Step 4: Simplify right side
    3,748x = 12,525,148.98
  5. Step 5: Solve for x
    x = 12,525,148.98/3,748
  6. Step 6: Final answer
    x = 3,341.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.