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Finding the Fourth Proportional to 2,959.76, 4,441.08 and 1,420.88

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Solution

The fourth proportional to 2,959.76, 4,441.08 and 1,420.88 is: 2,132.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.76 : 4,441.08 = 1,420.88 : x
  2. Step 2: Convert to fraction form
    2,959.76/4,441.08 = 1,420.88/x
  3. Step 3: Cross multiply
    2,959.76x = 4,441.08 × 1,420.88
  4. Step 4: Simplify right side
    2,959.76x = 6,310,241.75
  5. Step 5: Solve for x
    x = 6,310,241.75/2,959.76
  6. Step 6: Final answer
    x = 2,132.01

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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.