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Finding the Fourth Proportional to 5,232.61, 7,830.11 and 3,842.50

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Solution

The fourth proportional to 5,232.61, 7,830.11 and 3,842.50 is: 5,749.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.61 : 7,830.11 = 3,842.50 : x
  2. Step 2: Convert to fraction form
    5,232.61/7,830.11 = 3,842.50/x
  3. Step 3: Cross multiply
    5,232.61x = 7,830.11 × 3,842.50
  4. Step 4: Simplify right side
    5,232.61x = 30,087,197.68
  5. Step 5: Solve for x
    x = 30,087,197.68/5,232.61
  6. Step 6: Final answer
    x = 5,749.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.