Home / 1,591.83-2,387.66-946.67

Finding the Fourth Proportional to 1,591.83, 2,387.66 and 946.67

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Solution

The fourth proportional to 1,591.83, 2,387.66 and 946.67 is: 1,419.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.83 : 2,387.66 = 946.67 : x
  2. Step 2: Convert to fraction form
    1,591.83/2,387.66 = 946.67/x
  3. Step 3: Cross multiply
    1,591.83x = 2,387.66 × 946.67
  4. Step 4: Simplify right side
    1,591.83x = 2,260,309.42
  5. Step 5: Solve for x
    x = 2,260,309.42/1,591.83
  6. Step 6: Final answer
    x = 1,419.94

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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.