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Finding the Fourth Proportional to 2,089.76, 3,135.06 and 703.04

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Solution

The fourth proportional to 2,089.76, 3,135.06 and 703.04 is: 1,054.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.76 : 3,135.06 = 703.04 : x
  2. Step 2: Convert to fraction form
    2,089.76/3,135.06 = 703.04/x
  3. Step 3: Cross multiply
    2,089.76x = 3,135.06 × 703.04
  4. Step 4: Simplify right side
    2,089.76x = 2,204,072.58
  5. Step 5: Solve for x
    x = 2,204,072.58/2,089.76
  6. Step 6: Final answer
    x = 1,054.70

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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.