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Finding the Fourth Proportional to 6,642.85, 9,963.16 and 1,962.77

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Solution

The fourth proportional to 6,642.85, 9,963.16 and 1,962.77 is: 2,943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.85 : 9,963.16 = 1,962.77 : x
  2. Step 2: Convert to fraction form
    6,642.85/9,963.16 = 1,962.77/x
  3. Step 3: Cross multiply
    6,642.85x = 9,963.16 × 1,962.77
  4. Step 4: Simplify right side
    6,642.85x = 19,555,391.55
  5. Step 5: Solve for x
    x = 19,555,391.55/6,642.85
  6. Step 6: Final answer
    x = 2,943.83

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Similar ratio
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1.5x scale

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.