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Finding the Fourth Proportional to 1,798.16, 2,480.88 and 1,378.88

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Solution

The fourth proportional to 1,798.16, 2,480.88 and 1,378.88 is: 1,902.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,798.16 : 2,480.88 = 1,378.88 : x
  2. Step 2: Convert to fraction form
    1,798.16/2,480.88 = 1,378.88/x
  3. Step 3: Cross multiply
    1,798.16x = 2,480.88 × 1,378.88
  4. Step 4: Simplify right side
    1,798.16x = 3,420,835.81
  5. Step 5: Solve for x
    x = 3,420,835.81/1,798.16
  6. Step 6: Final answer
    x = 1,902.41

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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.