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Finding the Fourth Proportional to 5,516, 7,618.58 and 3,649.76

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Solution

The fourth proportional to 5,516, 7,618.58 and 3,649.76 is: 5,040.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,516 : 7,618.58 = 3,649.76 : x
  2. Step 2: Convert to fraction form
    5,516/7,618.58 = 3,649.76/x
  3. Step 3: Cross multiply
    5,516x = 7,618.58 × 3,649.76
  4. Step 4: Simplify right side
    5,516x = 27,805,988.54
  5. Step 5: Solve for x
    x = 27,805,988.54/5,516
  6. Step 6: Final answer
    x = 5,040.97

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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.