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Finding the Fourth Proportional to 8,347.50, 12,521.34 and 2,191.50

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Solution

The fourth proportional to 8,347.50, 12,521.34 and 2,191.50 is: 3,287.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,347.50 : 12,521.34 = 2,191.50 : x
  2. Step 2: Convert to fraction form
    8,347.50/12,521.34 = 2,191.50/x
  3. Step 3: Cross multiply
    8,347.50x = 12,521.34 × 2,191.50
  4. Step 4: Simplify right side
    8,347.50x = 27,440,516.61
  5. Step 5: Solve for x
    x = 27,440,516.61/8,347.50
  6. Step 6: Final answer
    x = 3,287.27

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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.