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Finding the Fourth Proportional to 3,167.71, 4,749.15 and 1,918.04

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Solution

The fourth proportional to 3,167.71, 4,749.15 and 1,918.04 is: 2,875.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.71 : 4,749.15 = 1,918.04 : x
  2. Step 2: Convert to fraction form
    3,167.71/4,749.15 = 1,918.04/x
  3. Step 3: Cross multiply
    3,167.71x = 4,749.15 × 1,918.04
  4. Step 4: Simplify right side
    3,167.71x = 9,109,032.32
  5. Step 5: Solve for x
    x = 9,109,032.32/3,167.71
  6. Step 6: Final answer
    x = 2,875.59

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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.