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Finding the Fourth Proportional to 9,212.80, 12,713.70 and 5,234.13

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Solution

The fourth proportional to 9,212.80, 12,713.70 and 5,234.13 is: 7,223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.80 : 12,713.70 = 5,234.13 : x
  2. Step 2: Convert to fraction form
    9,212.80/12,713.70 = 5,234.13/x
  3. Step 3: Cross multiply
    9,212.80x = 12,713.70 × 5,234.13
  4. Step 4: Simplify right side
    9,212.80x = 66,545,095.01
  5. Step 5: Solve for x
    x = 66,545,095.01/9,212.80
  6. Step 6: Final answer
    x = 7,223.12

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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.