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Finding the Fourth Proportional to 1,875.39, 2,811.90 and 764.31

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Solution

The fourth proportional to 1,875.39, 2,811.90 and 764.31 is: 1,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.39 : 2,811.90 = 764.31 : x
  2. Step 2: Convert to fraction form
    1,875.39/2,811.90 = 764.31/x
  3. Step 3: Cross multiply
    1,875.39x = 2,811.90 × 764.31
  4. Step 4: Simplify right side
    1,875.39x = 2,149,163.29
  5. Step 5: Solve for x
    x = 2,149,163.29/1,875.39
  6. Step 6: Final answer
    x = 1,145.98

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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.