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Finding the Fourth Proportional to 1,663.33, 2,494.99 and 1,561.84

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Solution

The fourth proportional to 1,663.33, 2,494.99 and 1,561.84 is: 2,342.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,663.33 : 2,494.99 = 1,561.84 : x
  2. Step 2: Convert to fraction form
    1,663.33/2,494.99 = 1,561.84/x
  3. Step 3: Cross multiply
    1,663.33x = 2,494.99 × 1,561.84
  4. Step 4: Simplify right side
    1,663.33x = 3,896,775.18
  5. Step 5: Solve for x
    x = 3,896,775.18/1,663.33
  6. Step 6: Final answer
    x = 2,342.76

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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.