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Finding the Fourth Proportional to 6,397.66, 8,820.17 and 5,741.56

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Solution

The fourth proportional to 6,397.66, 8,820.17 and 5,741.56 is: 7,915.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.66 : 8,820.17 = 5,741.56 : x
  2. Step 2: Convert to fraction form
    6,397.66/8,820.17 = 5,741.56/x
  3. Step 3: Cross multiply
    6,397.66x = 8,820.17 × 5,741.56
  4. Step 4: Simplify right side
    6,397.66x = 50,641,491.16
  5. Step 5: Solve for x
    x = 50,641,491.16/6,397.66
  6. Step 6: Final answer
    x = 7,915.63

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1.5x scale

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.