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Finding the Fourth Proportional to 2,480.19, 3,720.46 and 836.19

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Solution

The fourth proportional to 2,480.19, 3,720.46 and 836.19 is: 1,254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.19 : 3,720.46 = 836.19 : x
  2. Step 2: Convert to fraction form
    2,480.19/3,720.46 = 836.19/x
  3. Step 3: Cross multiply
    2,480.19x = 3,720.46 × 836.19
  4. Step 4: Simplify right side
    2,480.19x = 3,111,011.45
  5. Step 5: Solve for x
    x = 3,111,011.45/2,480.19
  6. Step 6: Final answer
    x = 1,254.34

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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.