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Finding the Fourth Proportional to 7,642.98, 10,540.41 and 4,951.47

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Solution

The fourth proportional to 7,642.98, 10,540.41 and 4,951.47 is: 6,828.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.98 : 10,540.41 = 4,951.47 : x
  2. Step 2: Convert to fraction form
    7,642.98/10,540.41 = 4,951.47/x
  3. Step 3: Cross multiply
    7,642.98x = 10,540.41 × 4,951.47
  4. Step 4: Simplify right side
    7,642.98x = 52,190,488.16
  5. Step 5: Solve for x
    x = 52,190,488.16/7,642.98
  6. Step 6: Final answer
    x = 6,828.55

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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.