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Finding the Fourth Proportional to 9,157, 12,631.44 and 5,971.20

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Solution

The fourth proportional to 9,157, 12,631.44 and 5,971.20 is: 8,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157 : 12,631.44 = 5,971.20 : x
  2. Step 2: Convert to fraction form
    9,157/12,631.44 = 5,971.20/x
  3. Step 3: Cross multiply
    9,157x = 12,631.44 × 5,971.20
  4. Step 4: Simplify right side
    9,157x = 75,424,854.53
  5. Step 5: Solve for x
    x = 75,424,854.53/9,157
  6. Step 6: Final answer
    x = 8,236.85

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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.