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Finding the Fourth Proportional to 9,394.88, 12,960.40 and 6,209.42

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Solution

The fourth proportional to 9,394.88, 12,960.40 and 6,209.42 is: 8,566.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.88 : 12,960.40 = 6,209.42 : x
  2. Step 2: Convert to fraction form
    9,394.88/12,960.40 = 6,209.42/x
  3. Step 3: Cross multiply
    9,394.88x = 12,960.40 × 6,209.42
  4. Step 4: Simplify right side
    9,394.88x = 80,476,566.97
  5. Step 5: Solve for x
    x = 80,476,566.97/9,394.88
  6. Step 6: Final answer
    x = 8,566.00

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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.