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Finding the Fourth Proportional to 8,123.50, 12,185.25 and 1,967.50

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Solution

The fourth proportional to 8,123.50, 12,185.25 and 1,967.50 is: 2,951.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.50 : 12,185.25 = 1,967.50 : x
  2. Step 2: Convert to fraction form
    8,123.50/12,185.25 = 1,967.50/x
  3. Step 3: Cross multiply
    8,123.50x = 12,185.25 × 1,967.50
  4. Step 4: Simplify right side
    8,123.50x = 23,974,479.38
  5. Step 5: Solve for x
    x = 23,974,479.38/8,123.50
  6. Step 6: Final answer
    x = 2,951.25

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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.