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Finding the Fourth Proportional to 3,249, 4,873.41 and 1,058.22

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Solution

The fourth proportional to 3,249, 4,873.41 and 1,058.22 is: 1,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249 : 4,873.41 = 1,058.22 : x
  2. Step 2: Convert to fraction form
    3,249/4,873.41 = 1,058.22/x
  3. Step 3: Cross multiply
    3,249x = 4,873.41 × 1,058.22
  4. Step 4: Simplify right side
    3,249x = 5,157,139.93
  5. Step 5: Solve for x
    x = 5,157,139.93/3,249
  6. Step 6: Final answer
    x = 1,587.30

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Double scale
Find fourth proportional to 3,250, 4,874.91 and 1,059.22
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1.5x scale

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.