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Finding the Fourth Proportional to 2,808.40, 4,217.40 and 1,838.80

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Solution

The fourth proportional to 2,808.40, 4,217.40 and 1,838.80 is: 2,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,808.40 : 4,217.40 = 1,838.80 : x
  2. Step 2: Convert to fraction form
    2,808.40/4,217.40 = 1,838.80/x
  3. Step 3: Cross multiply
    2,808.40x = 4,217.40 × 1,838.80
  4. Step 4: Simplify right side
    2,808.40x = 7,754,955.12
  5. Step 5: Solve for x
    x = 7,754,955.12/2,808.40
  6. Step 6: Final answer
    x = 2,761.34

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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.