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Finding the Fourth Proportional to 5,839.76, 8,762.98 and 2,141.50

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Solution

The fourth proportional to 5,839.76, 8,762.98 and 2,141.50 is: 3,213.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,839.76 : 8,762.98 = 2,141.50 : x
  2. Step 2: Convert to fraction form
    5,839.76/8,762.98 = 2,141.50/x
  3. Step 3: Cross multiply
    5,839.76x = 8,762.98 × 2,141.50
  4. Step 4: Simplify right side
    5,839.76x = 18,765,921.67
  5. Step 5: Solve for x
    x = 18,765,921.67/5,839.76
  6. Step 6: Final answer
    x = 3,213.47

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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.