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Finding the Fourth Proportional to 9,147.85, 12,623.85 and 5,169.13

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Solution

The fourth proportional to 9,147.85, 12,623.85 and 5,169.13 is: 7,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.85 : 12,623.85 = 5,169.13 : x
  2. Step 2: Convert to fraction form
    9,147.85/12,623.85 = 5,169.13/x
  3. Step 3: Cross multiply
    9,147.85x = 12,623.85 × 5,169.13
  4. Step 4: Simplify right side
    9,147.85x = 65,254,321.75
  5. Step 5: Solve for x
    x = 65,254,321.75/9,147.85
  6. Step 6: Final answer
    x = 7,133.30

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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.