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Finding the Fourth Proportional to 2,842.61, 3,924.22 and 2,203.12

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Solution

The fourth proportional to 2,842.61, 3,924.22 and 2,203.12 is: 3,041.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.61 : 3,924.22 = 2,203.12 : x
  2. Step 2: Convert to fraction form
    2,842.61/3,924.22 = 2,203.12/x
  3. Step 3: Cross multiply
    2,842.61x = 3,924.22 × 2,203.12
  4. Step 4: Simplify right side
    2,842.61x = 8,645,520.51
  5. Step 5: Solve for x
    x = 8,645,520.51/2,842.61
  6. Step 6: Final answer
    x = 3,041.40

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Half scale
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Double scale
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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.