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Finding the Fourth Proportional to 3,748, 5,174.64 and 3,354.34

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Solution

The fourth proportional to 3,748, 5,174.64 and 3,354.34 is: 4,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,748 : 5,174.64 = 3,354.34 : x
  2. Step 2: Convert to fraction form
    3,748/5,174.64 = 3,354.34/x
  3. Step 3: Cross multiply
    3,748x = 5,174.64 × 3,354.34
  4. Step 4: Simplify right side
    3,748x = 17,357,501.94
  5. Step 5: Solve for x
    x = 17,357,501.94/3,748
  6. Step 6: Final answer
    x = 4,631.14

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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.