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Finding the Fourth Proportional to 1,944.31, 2,916.09 and 645.61

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Solution

The fourth proportional to 1,944.31, 2,916.09 and 645.61 is: 968.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,944.31 : 2,916.09 = 645.61 : x
  2. Step 2: Convert to fraction form
    1,944.31/2,916.09 = 645.61/x
  3. Step 3: Cross multiply
    1,944.31x = 2,916.09 × 645.61
  4. Step 4: Simplify right side
    1,944.31x = 1,882,656.86
  5. Step 5: Solve for x
    x = 1,882,656.86/1,944.31
  6. Step 6: Final answer
    x = 968.29

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1.5x scale

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.