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Finding the Fourth Proportional to 3,449.32, 5,174.76 and 1,258

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Solution

The fourth proportional to 3,449.32, 5,174.76 and 1,258 is: 1,887.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.32 : 5,174.76 = 1,258 : x
  2. Step 2: Convert to fraction form
    3,449.32/5,174.76 = 1,258/x
  3. Step 3: Cross multiply
    3,449.32x = 5,174.76 × 1,258
  4. Step 4: Simplify right side
    3,449.32x = 6,509,848.08
  5. Step 5: Solve for x
    x = 6,509,848.08/3,449.32
  6. Step 6: Final answer
    x = 1,887.28

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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.