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Finding the Fourth Proportional to 4,145, 5,720.10 and 2,282

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Solution

The fourth proportional to 4,145, 5,720.10 and 2,282 is: 3,149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145 : 5,720.10 = 2,282 : x
  2. Step 2: Convert to fraction form
    4,145/5,720.10 = 2,282/x
  3. Step 3: Cross multiply
    4,145x = 5,720.10 × 2,282
  4. Step 4: Simplify right side
    4,145x = 13,053,268.20
  5. Step 5: Solve for x
    x = 13,053,268.20/4,145
  6. Step 6: Final answer
    x = 3,149.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.