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Finding the Fourth Proportional to 2,909.53, 4,013.85 and 1,965.02

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Solution

The fourth proportional to 2,909.53, 4,013.85 and 1,965.02 is: 2,710.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.53 : 4,013.85 = 1,965.02 : x
  2. Step 2: Convert to fraction form
    2,909.53/4,013.85 = 1,965.02/x
  3. Step 3: Cross multiply
    2,909.53x = 4,013.85 × 1,965.02
  4. Step 4: Simplify right side
    2,909.53x = 7,887,275.46
  5. Step 5: Solve for x
    x = 7,887,275.46/2,909.53
  6. Step 6: Final answer
    x = 2,710.84

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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.