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Finding the Fourth Proportional to 9,309.39, 13,964.31 and 4,377.71

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Solution

The fourth proportional to 9,309.39, 13,964.31 and 4,377.71 is: 6,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.39 : 13,964.31 = 4,377.71 : x
  2. Step 2: Convert to fraction form
    9,309.39/13,964.31 = 4,377.71/x
  3. Step 3: Cross multiply
    9,309.39x = 13,964.31 × 4,377.71
  4. Step 4: Simplify right side
    9,309.39x = 61,131,629.71
  5. Step 5: Solve for x
    x = 61,131,629.71/9,309.39
  6. Step 6: Final answer
    x = 6,566.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.