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Finding the Fourth Proportional to 6,586.30, 9,880.80 and 3,073.78

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Solution

The fourth proportional to 6,586.30, 9,880.80 and 3,073.78 is: 4,611.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.30 : 9,880.80 = 3,073.78 : x
  2. Step 2: Convert to fraction form
    6,586.30/9,880.80 = 3,073.78/x
  3. Step 3: Cross multiply
    6,586.30x = 9,880.80 × 3,073.78
  4. Step 4: Simplify right side
    6,586.30x = 30,371,405.42
  5. Step 5: Solve for x
    x = 30,371,405.42/6,586.30
  6. Step 6: Final answer
    x = 4,611.30

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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.