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Finding the Fourth Proportional to 9,689.54, 14,531.64 and 2,667.90

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Solution

The fourth proportional to 9,689.54, 14,531.64 and 2,667.90 is: 4,001.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.54 : 14,531.64 = 2,667.90 : x
  2. Step 2: Convert to fraction form
    9,689.54/14,531.64 = 2,667.90/x
  3. Step 3: Cross multiply
    9,689.54x = 14,531.64 × 2,667.90
  4. Step 4: Simplify right side
    9,689.54x = 38,768,972.36
  5. Step 5: Solve for x
    x = 38,768,972.36/9,689.54
  6. Step 6: Final answer
    x = 4,001.12

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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.