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Finding the Fourth Proportional to 8,470.79, 11,694.12 and 6,578.13

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Solution

The fourth proportional to 8,470.79, 11,694.12 and 6,578.13 is: 9,081.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.79 : 11,694.12 = 6,578.13 : x
  2. Step 2: Convert to fraction form
    8,470.79/11,694.12 = 6,578.13/x
  3. Step 3: Cross multiply
    8,470.79x = 11,694.12 × 6,578.13
  4. Step 4: Simplify right side
    8,470.79x = 76,925,432.00
  5. Step 5: Solve for x
    x = 76,925,432.00/8,470.79
  6. Step 6: Final answer
    x = 9,081.25

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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.