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Finding the Fourth Proportional to 7,825.92, 10,809.36 and 6,335.52

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Solution

The fourth proportional to 7,825.92, 10,809.36 and 6,335.52 is: 8,750.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.92 : 10,809.36 = 6,335.52 : x
  2. Step 2: Convert to fraction form
    7,825.92/10,809.36 = 6,335.52/x
  3. Step 3: Cross multiply
    7,825.92x = 10,809.36 × 6,335.52
  4. Step 4: Simplify right side
    7,825.92x = 68,482,916.47
  5. Step 5: Solve for x
    x = 68,482,916.47/7,825.92
  6. Step 6: Final answer
    x = 8,750.78

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