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Finding the Fourth Proportional to 7,205.42, 9,943.80 and 4,061.54

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Solution

The fourth proportional to 7,205.42, 9,943.80 and 4,061.54 is: 5,605.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.42 : 9,943.80 = 4,061.54 : x
  2. Step 2: Convert to fraction form
    7,205.42/9,943.80 = 4,061.54/x
  3. Step 3: Cross multiply
    7,205.42x = 9,943.80 × 4,061.54
  4. Step 4: Simplify right side
    7,205.42x = 40,387,141.45
  5. Step 5: Solve for x
    x = 40,387,141.45/7,205.42
  6. Step 6: Final answer
    x = 5,605.11

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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.