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Finding the Fourth Proportional to 3,218.25, 4,823.04 and 1,461.08

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Solution

The fourth proportional to 3,218.25, 4,823.04 and 1,461.08 is: 2,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.25 : 4,823.04 = 1,461.08 : x
  2. Step 2: Convert to fraction form
    3,218.25/4,823.04 = 1,461.08/x
  3. Step 3: Cross multiply
    3,218.25x = 4,823.04 × 1,461.08
  4. Step 4: Simplify right side
    3,218.25x = 7,046,864.82
  5. Step 5: Solve for x
    x = 7,046,864.82/3,218.25
  6. Step 6: Final answer
    x = 2,189.65

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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.