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Finding the Fourth Proportional to 1,873.14, 2,811.33 and 719.70

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Solution

The fourth proportional to 1,873.14, 2,811.33 and 719.70 is: 1,080.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,873.14 : 2,811.33 = 719.70 : x
  2. Step 2: Convert to fraction form
    1,873.14/2,811.33 = 719.70/x
  3. Step 3: Cross multiply
    1,873.14x = 2,811.33 × 719.70
  4. Step 4: Simplify right side
    1,873.14x = 2,023,303.66
  5. Step 5: Solve for x
    x = 2,023,303.66/1,873.14
  6. Step 6: Final answer
    x = 1,080.17

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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.