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Finding the Fourth Proportional to 3,548.76, 4,897.22 and 1,976.92

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Solution

The fourth proportional to 3,548.76, 4,897.22 and 1,976.92 is: 2,728.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.76 : 4,897.22 = 1,976.92 : x
  2. Step 2: Convert to fraction form
    3,548.76/4,897.22 = 1,976.92/x
  3. Step 3: Cross multiply
    3,548.76x = 4,897.22 × 1,976.92
  4. Step 4: Simplify right side
    3,548.76x = 9,681,412.16
  5. Step 5: Solve for x
    x = 9,681,412.16/3,548.76
  6. Step 6: Final answer
    x = 2,728.11

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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.