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Finding the Fourth Proportional to 3,646.69, 5,471.01 and 1,456.95

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Solution

The fourth proportional to 3,646.69, 5,471.01 and 1,456.95 is: 2,185.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.69 : 5,471.01 = 1,456.95 : x
  2. Step 2: Convert to fraction form
    3,646.69/5,471.01 = 1,456.95/x
  3. Step 3: Cross multiply
    3,646.69x = 5,471.01 × 1,456.95
  4. Step 4: Simplify right side
    3,646.69x = 7,971,008.54
  5. Step 5: Solve for x
    x = 7,971,008.54/3,646.69
  6. Step 6: Final answer
    x = 2,185.82

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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.