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Finding the Fourth Proportional to 6,470.24, 8,934.54 and 6,138.09

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Solution

The fourth proportional to 6,470.24, 8,934.54 and 6,138.09 is: 8,475.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.24 : 8,934.54 = 6,138.09 : x
  2. Step 2: Convert to fraction form
    6,470.24/8,934.54 = 6,138.09/x
  3. Step 3: Cross multiply
    6,470.24x = 8,934.54 × 6,138.09
  4. Step 4: Simplify right side
    6,470.24x = 54,840,987.61
  5. Step 5: Solve for x
    x = 54,840,987.61/6,470.24
  6. Step 6: Final answer
    x = 8,475.88

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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.