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Finding the Fourth Proportional to 7,761.22, 10,712.50 and 4,929.95

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Solution

The fourth proportional to 7,761.22, 10,712.50 and 4,929.95 is: 6,804.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.22 : 10,712.50 = 4,929.95 : x
  2. Step 2: Convert to fraction form
    7,761.22/10,712.50 = 4,929.95/x
  3. Step 3: Cross multiply
    7,761.22x = 10,712.50 × 4,929.95
  4. Step 4: Simplify right side
    7,761.22x = 52,812,103.83
  5. Step 5: Solve for x
    x = 52,812,103.83/7,761.22
  6. Step 6: Final answer
    x = 6,804.62

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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.