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Finding the Fourth Proportional to 2,155.42, 3,233.03 and 616.42

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Solution

The fourth proportional to 2,155.42, 3,233.03 and 616.42 is: 924.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.42 : 3,233.03 = 616.42 : x
  2. Step 2: Convert to fraction form
    2,155.42/3,233.03 = 616.42/x
  3. Step 3: Cross multiply
    2,155.42x = 3,233.03 × 616.42
  4. Step 4: Simplify right side
    2,155.42x = 1,992,888.19
  5. Step 5: Solve for x
    x = 1,992,888.19/2,155.42
  6. Step 6: Final answer
    x = 924.60

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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.