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Finding the Fourth Proportional to 3,864.16, 5,788.48 and 1,781.25

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Solution

The fourth proportional to 3,864.16, 5,788.48 and 1,781.25 is: 2,668.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.16 : 5,788.48 = 1,781.25 : x
  2. Step 2: Convert to fraction form
    3,864.16/5,788.48 = 1,781.25/x
  3. Step 3: Cross multiply
    3,864.16x = 5,788.48 × 1,781.25
  4. Step 4: Simplify right side
    3,864.16x = 10,310,730
  5. Step 5: Solve for x
    x = 10,310,730/3,864.16
  6. Step 6: Final answer
    x = 2,668.30

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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.