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Finding the Fourth Proportional to 8,123.45, 12,185.16 and 1,967.45

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Solution

The fourth proportional to 8,123.45, 12,185.16 and 1,967.45 is: 2,951.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.45 : 12,185.16 = 1,967.45 : x
  2. Step 2: Convert to fraction form
    8,123.45/12,185.16 = 1,967.45/x
  3. Step 3: Cross multiply
    8,123.45x = 12,185.16 × 1,967.45
  4. Step 4: Simplify right side
    8,123.45x = 23,973,632.12
  5. Step 5: Solve for x
    x = 23,973,632.12/8,123.45
  6. Step 6: Final answer
    x = 2,951.17

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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.