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Finding the Fourth Proportional to 1,548.93, 2,321.82 and 856.38

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Solution

The fourth proportional to 1,548.93, 2,321.82 and 856.38 is: 1,283.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.93 : 2,321.82 = 856.38 : x
  2. Step 2: Convert to fraction form
    1,548.93/2,321.82 = 856.38/x
  3. Step 3: Cross multiply
    1,548.93x = 2,321.82 × 856.38
  4. Step 4: Simplify right side
    1,548.93x = 1,988,360.21
  5. Step 5: Solve for x
    x = 1,988,360.21/1,548.93
  6. Step 6: Final answer
    x = 1,283.70

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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.