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Finding the Fourth Proportional to 7,774.75, 10,729.13 and 4,237.95

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Solution

The fourth proportional to 7,774.75, 10,729.13 and 4,237.95 is: 5,848.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.75 : 10,729.13 = 4,237.95 : x
  2. Step 2: Convert to fraction form
    7,774.75/10,729.13 = 4,237.95/x
  3. Step 3: Cross multiply
    7,774.75x = 10,729.13 × 4,237.95
  4. Step 4: Simplify right side
    7,774.75x = 45,469,535.53
  5. Step 5: Solve for x
    x = 45,469,535.53/7,774.75
  6. Step 6: Final answer
    x = 5,848.36

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1.5x scale

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.