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Finding the Fourth Proportional to 2,559.84, 3,838.68 and 804.36

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Solution

The fourth proportional to 2,559.84, 3,838.68 and 804.36 is: 1,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,559.84 : 3,838.68 = 804.36 : x
  2. Step 2: Convert to fraction form
    2,559.84/3,838.68 = 804.36/x
  3. Step 3: Cross multiply
    2,559.84x = 3,838.68 × 804.36
  4. Step 4: Simplify right side
    2,559.84x = 3,087,680.64
  5. Step 5: Solve for x
    x = 3,087,680.64/2,559.84
  6. Step 6: Final answer
    x = 1,206.20

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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.