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Finding the Fourth Proportional to 8,165.76, 12,248.37 and 2,971.50

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Solution

The fourth proportional to 8,165.76, 12,248.37 and 2,971.50 is: 4,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,165.76 : 12,248.37 = 2,971.50 : x
  2. Step 2: Convert to fraction form
    8,165.76/12,248.37 = 2,971.50/x
  3. Step 3: Cross multiply
    8,165.76x = 12,248.37 × 2,971.50
  4. Step 4: Simplify right side
    8,165.76x = 36,396,031.46
  5. Step 5: Solve for x
    x = 36,396,031.46/8,165.76
  6. Step 6: Final answer
    x = 4,457.15

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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.