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Finding the Fourth Proportional to 8,720, 13,082.88 and 3,523.04

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Solution

The fourth proportional to 8,720, 13,082.88 and 3,523.04 is: 5,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,720 : 13,082.88 = 3,523.04 : x
  2. Step 2: Convert to fraction form
    8,720/13,082.88 = 3,523.04/x
  3. Step 3: Cross multiply
    8,720x = 13,082.88 × 3,523.04
  4. Step 4: Simplify right side
    8,720x = 46,091,509.56
  5. Step 5: Solve for x
    x = 46,091,509.56/8,720
  6. Step 6: Final answer
    x = 5,285.72

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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.