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Finding the Fourth Proportional to 6,642.76, 9,961.80 and 1,961.53

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Solution

The fourth proportional to 6,642.76, 9,961.80 and 1,961.53 is: 2,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.76 : 9,961.80 = 1,961.53 : x
  2. Step 2: Convert to fraction form
    6,642.76/9,961.80 = 1,961.53/x
  3. Step 3: Cross multiply
    6,642.76x = 9,961.80 × 1,961.53
  4. Step 4: Simplify right side
    6,642.76x = 19,540,369.55
  5. Step 5: Solve for x
    x = 19,540,369.55/6,642.76
  6. Step 6: Final answer
    x = 2,941.60

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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.