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Finding the Fourth Proportional to 2,480.07, 3,720.48 and 836.48

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Solution

The fourth proportional to 2,480.07, 3,720.48 and 836.48 is: 1,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.07 : 3,720.48 = 836.48 : x
  2. Step 2: Convert to fraction form
    2,480.07/3,720.48 = 836.48/x
  3. Step 3: Cross multiply
    2,480.07x = 3,720.48 × 836.48
  4. Step 4: Simplify right side
    2,480.07x = 3,112,107.11
  5. Step 5: Solve for x
    x = 3,112,107.11/2,480.07
  6. Step 6: Final answer
    x = 1,254.85

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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.