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Finding the Fourth Proportional to 1,873.80, 2,808.81 and 703.62

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Solution

The fourth proportional to 1,873.80, 2,808.81 and 703.62 is: 1,054.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.80 : 2,808.81 = 703.62 : x
  2. Step 2: Convert to fraction form
    1,873.80/2,808.81 = 703.62/x
  3. Step 3: Cross multiply
    1,873.80x = 2,808.81 × 703.62
  4. Step 4: Simplify right side
    1,873.80x = 1,976,334.89
  5. Step 5: Solve for x
    x = 1,976,334.89/1,873.80
  6. Step 6: Final answer
    x = 1,054.72

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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.