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Finding the Fourth Proportional to 2,461.76, 3,692 and 1,163.20

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Solution

The fourth proportional to 2,461.76, 3,692 and 1,163.20 is: 1,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,461.76 : 3,692 = 1,163.20 : x
  2. Step 2: Convert to fraction form
    2,461.76/3,692 = 1,163.20/x
  3. Step 3: Cross multiply
    2,461.76x = 3,692 × 1,163.20
  4. Step 4: Simplify right side
    2,461.76x = 4,294,534.40
  5. Step 5: Solve for x
    x = 4,294,534.40/2,461.76
  6. Step 6: Final answer
    x = 1,744.50

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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.