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Finding the Fourth Proportional to 7,803.92, 10,765.80 and 4,490

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Solution

The fourth proportional to 7,803.92, 10,765.80 and 4,490 is: 6,194.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.92 : 10,765.80 = 4,490 : x
  2. Step 2: Convert to fraction form
    7,803.92/10,765.80 = 4,490/x
  3. Step 3: Cross multiply
    7,803.92x = 10,765.80 × 4,490
  4. Step 4: Simplify right side
    7,803.92x = 48,338,442
  5. Step 5: Solve for x
    x = 48,338,442/7,803.92
  6. Step 6: Final answer
    x = 6,194.12

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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.