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Finding the Fourth Proportional to 7,817.88, 11,726.90 and 1,974.49

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Solution

The fourth proportional to 7,817.88, 11,726.90 and 1,974.49 is: 2,961.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.88 : 11,726.90 = 1,974.49 : x
  2. Step 2: Convert to fraction form
    7,817.88/11,726.90 = 1,974.49/x
  3. Step 3: Cross multiply
    7,817.88x = 11,726.90 × 1,974.49
  4. Step 4: Simplify right side
    7,817.88x = 23,154,641.84
  5. Step 5: Solve for x
    x = 23,154,641.84/7,817.88
  6. Step 6: Final answer
    x = 2,961.75

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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.