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Finding the Fourth Proportional to 7,824.30, 11,704.05 and 6,657.90

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Solution

The fourth proportional to 7,824.30, 11,704.05 and 6,657.90 is: 9,959.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.30 : 11,704.05 = 6,657.90 : x
  2. Step 2: Convert to fraction form
    7,824.30/11,704.05 = 6,657.90/x
  3. Step 3: Cross multiply
    7,824.30x = 11,704.05 × 6,657.90
  4. Step 4: Simplify right side
    7,824.30x = 77,924,394.50
  5. Step 5: Solve for x
    x = 77,924,394.50/7,824.30
  6. Step 6: Final answer
    x = 9,959.28

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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.