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Finding the Fourth Proportional to 7,151, 9,868.79 and 4,008.20

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Solution

The fourth proportional to 7,151, 9,868.79 and 4,008.20 is: 5,531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151 : 9,868.79 = 4,008.20 : x
  2. Step 2: Convert to fraction form
    7,151/9,868.79 = 4,008.20/x
  3. Step 3: Cross multiply
    7,151x = 9,868.79 × 4,008.20
  4. Step 4: Simplify right side
    7,151x = 39,556,064.04
  5. Step 5: Solve for x
    x = 39,556,064.04/7,151
  6. Step 6: Final answer
    x = 5,531.54

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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.