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Finding the Fourth Proportional to 3,488.69, 5,233.17 and 891.69

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Solution

The fourth proportional to 3,488.69, 5,233.17 and 891.69 is: 1,337.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.69 : 5,233.17 = 891.69 : x
  2. Step 2: Convert to fraction form
    3,488.69/5,233.17 = 891.69/x
  3. Step 3: Cross multiply
    3,488.69x = 5,233.17 × 891.69
  4. Step 4: Simplify right side
    3,488.69x = 4,666,365.36
  5. Step 5: Solve for x
    x = 4,666,365.36/3,488.69
  6. Step 6: Final answer
    x = 1,337.57

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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.