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Finding the Fourth Proportional to 7,234.98, 9,984.78 and 4,091.19

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Solution

The fourth proportional to 7,234.98, 9,984.78 and 4,091.19 is: 5,646.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.98 : 9,984.78 = 4,091.19 : x
  2. Step 2: Convert to fraction form
    7,234.98/9,984.78 = 4,091.19/x
  3. Step 3: Cross multiply
    7,234.98x = 9,984.78 × 4,091.19
  4. Step 4: Simplify right side
    7,234.98x = 40,849,632.09
  5. Step 5: Solve for x
    x = 40,849,632.09/7,234.98
  6. Step 6: Final answer
    x = 5,646.13

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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.