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Finding the Fourth Proportional to 2,809.84, 4,212.08 and 1,054.38

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Solution

The fourth proportional to 2,809.84, 4,212.08 and 1,054.38 is: 1,580.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.84 : 4,212.08 = 1,054.38 : x
  2. Step 2: Convert to fraction form
    2,809.84/4,212.08 = 1,054.38/x
  3. Step 3: Cross multiply
    2,809.84x = 4,212.08 × 1,054.38
  4. Step 4: Simplify right side
    2,809.84x = 4,441,132.91
  5. Step 5: Solve for x
    x = 4,441,132.91/2,809.84
  6. Step 6: Final answer
    x = 1,580.56

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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.