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Finding the Fourth Proportional to 7,040.73, 9,717.80 and 4,057.10

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Solution

The fourth proportional to 7,040.73, 9,717.80 and 4,057.10 is: 5,599.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,040.73 : 9,717.80 = 4,057.10 : x
  2. Step 2: Convert to fraction form
    7,040.73/9,717.80 = 4,057.10/x
  3. Step 3: Cross multiply
    7,040.73x = 9,717.80 × 4,057.10
  4. Step 4: Simplify right side
    7,040.73x = 39,426,086.38
  5. Step 5: Solve for x
    x = 39,426,086.38/7,040.73
  6. Step 6: Final answer
    x = 5,599.72

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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.