Home / 1,519.68-2,281.92-945.12

Finding the Fourth Proportional to 1,519.68, 2,281.92 and 945.12

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Solution

The fourth proportional to 1,519.68, 2,281.92 and 945.12 is: 1,419.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,519.68 : 2,281.92 = 945.12 : x
  2. Step 2: Convert to fraction form
    1,519.68/2,281.92 = 945.12/x
  3. Step 3: Cross multiply
    1,519.68x = 2,281.92 × 945.12
  4. Step 4: Simplify right side
    1,519.68x = 2,156,688.23
  5. Step 5: Solve for x
    x = 2,156,688.23/1,519.68
  6. Step 6: Final answer
    x = 1,419.17

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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.