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Finding the Fourth Proportional to 3,681, 5,079.69 and 2,002.37

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Solution

The fourth proportional to 3,681, 5,079.69 and 2,002.37 is: 2,763.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681 : 5,079.69 = 2,002.37 : x
  2. Step 2: Convert to fraction form
    3,681/5,079.69 = 2,002.37/x
  3. Step 3: Cross multiply
    3,681x = 5,079.69 × 2,002.37
  4. Step 4: Simplify right side
    3,681x = 10,171,393.47
  5. Step 5: Solve for x
    x = 10,171,393.47/3,681
  6. Step 6: Final answer
    x = 2,763.21

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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.