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Finding the Fourth Proportional to 2,420.76, 3,631.92 and 959.16

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Solution

The fourth proportional to 2,420.76, 3,631.92 and 959.16 is: 1,439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420.76 : 3,631.92 = 959.16 : x
  2. Step 2: Convert to fraction form
    2,420.76/3,631.92 = 959.16/x
  3. Step 3: Cross multiply
    2,420.76x = 3,631.92 × 959.16
  4. Step 4: Simplify right side
    2,420.76x = 3,483,592.39
  5. Step 5: Solve for x
    x = 3,483,592.39/2,420.76
  6. Step 6: Final answer
    x = 1,439.05

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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.