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Finding the Fourth Proportional to 9,386, 12,940.90 and 6,022.88

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Solution

The fourth proportional to 9,386, 12,940.90 and 6,022.88 is: 8,304.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,386 : 12,940.90 = 6,022.88 : x
  2. Step 2: Convert to fraction form
    9,386/12,940.90 = 6,022.88/x
  3. Step 3: Cross multiply
    9,386x = 12,940.90 × 6,022.88
  4. Step 4: Simplify right side
    9,386x = 77,941,487.79
  5. Step 5: Solve for x
    x = 77,941,487.79/9,386
  6. Step 6: Final answer
    x = 8,304.02

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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.