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Finding the Fourth Proportional to 3,959.16, 5,935.86 and 2,421.24

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Solution

The fourth proportional to 3,959.16, 5,935.86 and 2,421.24 is: 3,630.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.16 : 5,935.86 = 2,421.24 : x
  2. Step 2: Convert to fraction form
    3,959.16/5,935.86 = 2,421.24/x
  3. Step 3: Cross multiply
    3,959.16x = 5,935.86 × 2,421.24
  4. Step 4: Simplify right side
    3,959.16x = 14,372,141.67
  5. Step 5: Solve for x
    x = 14,372,141.67/3,959.16
  6. Step 6: Final answer
    x = 3,630.10

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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.