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Finding the Fourth Proportional to 4,449, 6,139.48 and 2,432.40

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Solution

The fourth proportional to 4,449, 6,139.48 and 2,432.40 is: 3,356.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,449 : 6,139.48 = 2,432.40 : x
  2. Step 2: Convert to fraction form
    4,449/6,139.48 = 2,432.40/x
  3. Step 3: Cross multiply
    4,449x = 6,139.48 × 2,432.40
  4. Step 4: Simplify right side
    4,449x = 14,933,671.15
  5. Step 5: Solve for x
    x = 14,933,671.15/4,449
  6. Step 6: Final answer
    x = 3,356.64

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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.