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Finding the Fourth Proportional to 9,155.56, 12,633.16 and 5,176.16

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Solution

The fourth proportional to 9,155.56, 12,633.16 and 5,176.16 is: 7,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.56 : 12,633.16 = 5,176.16 : x
  2. Step 2: Convert to fraction form
    9,155.56/12,633.16 = 5,176.16/x
  3. Step 3: Cross multiply
    9,155.56x = 12,633.16 × 5,176.16
  4. Step 4: Simplify right side
    9,155.56x = 65,391,257.47
  5. Step 5: Solve for x
    x = 65,391,257.47/9,155.56
  6. Step 6: Final answer
    x = 7,142.25

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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.