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Finding the Fourth Proportional to 8,470.90, 11,690.22 and 4,694.06

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Solution

The fourth proportional to 8,470.90, 11,690.22 and 4,694.06 is: 6,478.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.90 : 11,690.22 = 4,694.06 : x
  2. Step 2: Convert to fraction form
    8,470.90/11,690.22 = 4,694.06/x
  3. Step 3: Cross multiply
    8,470.90x = 11,690.22 × 4,694.06
  4. Step 4: Simplify right side
    8,470.90x = 54,874,512.17
  5. Step 5: Solve for x
    x = 54,874,512.17/8,470.90
  6. Step 6: Final answer
    x = 6,478.00

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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.