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Finding the Fourth Proportional to 3,702.72, 5,541.12 and 2,830.08

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Solution

The fourth proportional to 3,702.72, 5,541.12 and 2,830.08 is: 4,235.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.72 : 5,541.12 = 2,830.08 : x
  2. Step 2: Convert to fraction form
    3,702.72/5,541.12 = 2,830.08/x
  3. Step 3: Cross multiply
    3,702.72x = 5,541.12 × 2,830.08
  4. Step 4: Simplify right side
    3,702.72x = 15,681,812.89
  5. Step 5: Solve for x
    x = 15,681,812.89/3,702.72
  6. Step 6: Final answer
    x = 4,235.21

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Why These Related Problems?

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