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Finding the Fourth Proportional to 9,319, 12,853.71 and 6,131.29

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Solution

The fourth proportional to 9,319, 12,853.71 and 6,131.29 is: 8,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319 : 12,853.71 = 6,131.29 : x
  2. Step 2: Convert to fraction form
    9,319/12,853.71 = 6,131.29/x
  3. Step 3: Cross multiply
    9,319x = 12,853.71 × 6,131.29
  4. Step 4: Simplify right side
    9,319x = 78,809,823.59
  5. Step 5: Solve for x
    x = 78,809,823.59/9,319
  6. Step 6: Final answer
    x = 8,456.90

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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.