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Finding the Fourth Proportional to 8,966.43, 12,368.62 and 5,380.46

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Solution

The fourth proportional to 8,966.43, 12,368.62 and 5,380.46 is: 7,422.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,966.43 : 12,368.62 = 5,380.46 : x
  2. Step 2: Convert to fraction form
    8,966.43/12,368.62 = 5,380.46/x
  3. Step 3: Cross multiply
    8,966.43x = 12,368.62 × 5,380.46
  4. Step 4: Simplify right side
    8,966.43x = 66,548,865.17
  5. Step 5: Solve for x
    x = 66,548,865.17/8,966.43
  6. Step 6: Final answer
    x = 7,422.00

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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.