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Finding the Fourth Proportional to 6,397.56, 8,822.16 and 5,687.28

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Solution

The fourth proportional to 6,397.56, 8,822.16 and 5,687.28 is: 7,842.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.56 : 8,822.16 = 5,687.28 : x
  2. Step 2: Convert to fraction form
    6,397.56/8,822.16 = 5,687.28/x
  3. Step 3: Cross multiply
    6,397.56x = 8,822.16 × 5,687.28
  4. Step 4: Simplify right side
    6,397.56x = 50,174,094.12
  5. Step 5: Solve for x
    x = 50,174,094.12/6,397.56
  6. Step 6: Final answer
    x = 7,842.69

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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.