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Finding the Fourth Proportional to 3,242.32, 4,860 and 1,394.24

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Solution

The fourth proportional to 3,242.32, 4,860 and 1,394.24 is: 2,089.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.32 : 4,860 = 1,394.24 : x
  2. Step 2: Convert to fraction form
    3,242.32/4,860 = 1,394.24/x
  3. Step 3: Cross multiply
    3,242.32x = 4,860 × 1,394.24
  4. Step 4: Simplify right side
    3,242.32x = 6,776,006.40
  5. Step 5: Solve for x
    x = 6,776,006.40/3,242.32
  6. Step 6: Final answer
    x = 2,089.86

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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.