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Finding the Fourth Proportional to 8,853.84, 13,280.76 and 2,280.57

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Solution

The fourth proportional to 8,853.84, 13,280.76 and 2,280.57 is: 3,420.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,853.84 : 13,280.76 = 2,280.57 : x
  2. Step 2: Convert to fraction form
    8,853.84/13,280.76 = 2,280.57/x
  3. Step 3: Cross multiply
    8,853.84x = 13,280.76 × 2,280.57
  4. Step 4: Simplify right side
    8,853.84x = 30,287,702.83
  5. Step 5: Solve for x
    x = 30,287,702.83/8,853.84
  6. Step 6: Final answer
    x = 3,420.86

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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.