Home / 2,784.12-3,842.10-1,542.12

Finding the Fourth Proportional to 2,784.12, 3,842.10 and 1,542.12

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Solution

The fourth proportional to 2,784.12, 3,842.10 and 1,542.12 is: 2,128.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.12 : 3,842.10 = 1,542.12 : x
  2. Step 2: Convert to fraction form
    2,784.12/3,842.10 = 1,542.12/x
  3. Step 3: Cross multiply
    2,784.12x = 3,842.10 × 1,542.12
  4. Step 4: Simplify right side
    2,784.12x = 5,924,979.25
  5. Step 5: Solve for x
    x = 5,924,979.25/2,784.12
  6. Step 6: Final answer
    x = 2,128.13

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1.5x scale

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.