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Finding the Fourth Proportional to 15,207.76, 20,991.72 and 8,920

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Solution

The fourth proportional to 15,207.76, 20,991.72 and 8,920 is: 12,312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,207.76 : 20,991.72 = 8,920 : x
  2. Step 2: Convert to fraction form
    15,207.76/20,991.72 = 8,920/x
  3. Step 3: Cross multiply
    15,207.76x = 20,991.72 × 8,920
  4. Step 4: Simplify right side
    15,207.76x = 187,246,142.40
  5. Step 5: Solve for x
    x = 187,246,142.40/15,207.76
  6. Step 6: Final answer
    x = 12,312.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.