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Finding the Fourth Proportional to 5,780.61, 8,654.76 and 3,800.16

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Solution

The fourth proportional to 5,780.61, 8,654.76 and 3,800.16 is: 5,689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.61 : 8,654.76 = 3,800.16 : x
  2. Step 2: Convert to fraction form
    5,780.61/8,654.76 = 3,800.16/x
  3. Step 3: Cross multiply
    5,780.61x = 8,654.76 × 3,800.16
  4. Step 4: Simplify right side
    5,780.61x = 32,889,472.76
  5. Step 5: Solve for x
    x = 32,889,472.76/5,780.61
  6. Step 6: Final answer
    x = 5,689.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.