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Finding the Fourth Proportional to 3,820.80, 5,726.88 and 2,428.80

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Solution

The fourth proportional to 3,820.80, 5,726.88 and 2,428.80 is: 3,640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.80 : 5,726.88 = 2,428.80 : x
  2. Step 2: Convert to fraction form
    3,820.80/5,726.88 = 2,428.80/x
  3. Step 3: Cross multiply
    3,820.80x = 5,726.88 × 2,428.80
  4. Step 4: Simplify right side
    3,820.80x = 13,909,446.14
  5. Step 5: Solve for x
    x = 13,909,446.14/3,820.80
  6. Step 6: Final answer
    x = 3,640.45

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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.