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Finding the Fourth Proportional to 9,394.29, 12,925.71 and 8,131.32

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Solution

The fourth proportional to 9,394.29, 12,925.71 and 8,131.32 is: 11,187.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.29 : 12,925.71 = 8,131.32 : x
  2. Step 2: Convert to fraction form
    9,394.29/12,925.71 = 8,131.32/x
  3. Step 3: Cross multiply
    9,394.29x = 12,925.71 × 8,131.32
  4. Step 4: Simplify right side
    9,394.29x = 105,103,084.24
  5. Step 5: Solve for x
    x = 105,103,084.24/9,394.29
  6. Step 6: Final answer
    x = 11,187.98

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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.