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Finding the Fourth Proportional to 3,548.81, 4,897.41 and 1,976.90

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Solution

The fourth proportional to 3,548.81, 4,897.41 and 1,976.90 is: 2,728.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.81 : 4,897.41 = 1,976.90 : x
  2. Step 2: Convert to fraction form
    3,548.81/4,897.41 = 1,976.90/x
  3. Step 3: Cross multiply
    3,548.81x = 4,897.41 × 1,976.90
  4. Step 4: Simplify right side
    3,548.81x = 9,681,665.34
  5. Step 5: Solve for x
    x = 9,681,665.34/3,548.81
  6. Step 6: Final answer
    x = 2,728.15

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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.