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Finding the Fourth Proportional to 9,591, 14,386.50 and 2,665.50

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Solution

The fourth proportional to 9,591, 14,386.50 and 2,665.50 is: 3,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591 : 14,386.50 = 2,665.50 : x
  2. Step 2: Convert to fraction form
    9,591/14,386.50 = 2,665.50/x
  3. Step 3: Cross multiply
    9,591x = 14,386.50 × 2,665.50
  4. Step 4: Simplify right side
    9,591x = 38,347,215.75
  5. Step 5: Solve for x
    x = 38,347,215.75/9,591
  6. Step 6: Final answer
    x = 3,998.25

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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.