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Finding the Fourth Proportional to 8,966.88, 12,395.94 and 8,219.64

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Solution

The fourth proportional to 8,966.88, 12,395.94 and 8,219.64 is: 11,362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.88 : 12,395.94 = 8,219.64 : x
  2. Step 2: Convert to fraction form
    8,966.88/12,395.94 = 8,219.64/x
  3. Step 3: Cross multiply
    8,966.88x = 12,395.94 × 8,219.64
  4. Step 4: Simplify right side
    8,966.88x = 101,890,164.26
  5. Step 5: Solve for x
    x = 101,890,164.26/8,966.88
  6. Step 6: Final answer
    x = 11,362.95

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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.