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Finding the Fourth Proportional to 9,040.40, 13,556.28 and 4,418

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Solution

The fourth proportional to 9,040.40, 13,556.28 and 4,418 is: 6,624.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,040.40 : 13,556.28 = 4,418 : x
  2. Step 2: Convert to fraction form
    9,040.40/13,556.28 = 4,418/x
  3. Step 3: Cross multiply
    9,040.40x = 13,556.28 × 4,418
  4. Step 4: Simplify right side
    9,040.40x = 59,891,645.04
  5. Step 5: Solve for x
    x = 59,891,645.04/9,040.40
  6. Step 6: Final answer
    x = 6,624.89

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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.