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Finding the Fourth Proportional to 2,154.93, 3,232.43 and 615.93

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Solution

The fourth proportional to 2,154.93, 3,232.43 and 615.93 is: 923.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.93 : 3,232.43 = 615.93 : x
  2. Step 2: Convert to fraction form
    2,154.93/3,232.43 = 615.93/x
  3. Step 3: Cross multiply
    2,154.93x = 3,232.43 × 615.93
  4. Step 4: Simplify right side
    2,154.93x = 1,990,947.53
  5. Step 5: Solve for x
    x = 1,990,947.53/2,154.93
  6. Step 6: Final answer
    x = 923.90

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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.