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Finding the Fourth Proportional to 2,155, 3,232.50 and 616.12

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Solution

The fourth proportional to 2,155, 3,232.50 and 616.12 is: 924.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155 : 3,232.50 = 616.12 : x
  2. Step 2: Convert to fraction form
    2,155/3,232.50 = 616.12/x
  3. Step 3: Cross multiply
    2,155x = 3,232.50 × 616.12
  4. Step 4: Simplify right side
    2,155x = 1,991,607.90
  5. Step 5: Solve for x
    x = 1,991,607.90/2,155
  6. Step 6: Final answer
    x = 924.18

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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.