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Finding the Fourth Proportional to 6,512.96, 8,988.96 and 3,720

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Solution

The fourth proportional to 6,512.96, 8,988.96 and 3,720 is: 5,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.96 : 8,988.96 = 3,720 : x
  2. Step 2: Convert to fraction form
    6,512.96/8,988.96 = 3,720/x
  3. Step 3: Cross multiply
    6,512.96x = 8,988.96 × 3,720
  4. Step 4: Simplify right side
    6,512.96x = 33,438,931.20
  5. Step 5: Solve for x
    x = 33,438,931.20/6,512.96
  6. Step 6: Final answer
    x = 5,134.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.