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Finding the Fourth Proportional to 7,171.34, 9,896.86 and 4,777.16

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Solution

The fourth proportional to 7,171.34, 9,896.86 and 4,777.16 is: 6,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.34 : 9,896.86 = 4,777.16 : x
  2. Step 2: Convert to fraction form
    7,171.34/9,896.86 = 4,777.16/x
  3. Step 3: Cross multiply
    7,171.34x = 9,896.86 × 4,777.16
  4. Step 4: Simplify right side
    7,171.34x = 47,278,883.72
  5. Step 5: Solve for x
    x = 47,278,883.72/7,171.34
  6. Step 6: Final answer
    x = 6,592.75

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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.