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Finding the Fourth Proportional to 7,045.75, 9,723.15 and 3,902.41

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Solution

The fourth proportional to 7,045.75, 9,723.15 and 3,902.41 is: 5,385.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,045.75 : 9,723.15 = 3,902.41 : x
  2. Step 2: Convert to fraction form
    7,045.75/9,723.15 = 3,902.41/x
  3. Step 3: Cross multiply
    7,045.75x = 9,723.15 × 3,902.41
  4. Step 4: Simplify right side
    7,045.75x = 37,943,717.79
  5. Step 5: Solve for x
    x = 37,943,717.79/7,045.75
  6. Step 6: Final answer
    x = 5,385.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.