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Finding the Fourth Proportional to 9,114, 13,672.32 and 2,871.90

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Solution

The fourth proportional to 9,114, 13,672.32 and 2,871.90 is: 4,308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114 : 13,672.32 = 2,871.90 : x
  2. Step 2: Convert to fraction form
    9,114/13,672.32 = 2,871.90/x
  3. Step 3: Cross multiply
    9,114x = 13,672.32 × 2,871.90
  4. Step 4: Simplify right side
    9,114x = 39,265,535.81
  5. Step 5: Solve for x
    x = 39,265,535.81/9,114
  6. Step 6: Final answer
    x = 4,308.27

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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.