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Finding the Fourth Proportional to 5,712.68, 7,881 and 3,615.50

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Solution

The fourth proportional to 5,712.68, 7,881 and 3,615.50 is: 4,987.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.68 : 7,881 = 3,615.50 : x
  2. Step 2: Convert to fraction form
    5,712.68/7,881 = 3,615.50/x
  3. Step 3: Cross multiply
    5,712.68x = 7,881 × 3,615.50
  4. Step 4: Simplify right side
    5,712.68x = 28,493,755.50
  5. Step 5: Solve for x
    x = 28,493,755.50/5,712.68
  6. Step 6: Final answer
    x = 4,987.81

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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.