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Finding the Fourth Proportional to 9,964.78, 13,751.48 and 5,488.54

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Solution

The fourth proportional to 9,964.78, 13,751.48 and 5,488.54 is: 7,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.78 : 13,751.48 = 5,488.54 : x
  2. Step 2: Convert to fraction form
    9,964.78/13,751.48 = 5,488.54/x
  3. Step 3: Cross multiply
    9,964.78x = 13,751.48 × 5,488.54
  4. Step 4: Simplify right side
    9,964.78x = 75,475,596.14
  5. Step 5: Solve for x
    x = 75,475,596.14/9,964.78
  6. Step 6: Final answer
    x = 7,574.24

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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.