Home / 1,574.40-2,359.68-1,378.88

Finding the Fourth Proportional to 1,574.40, 2,359.68 and 1,378.88

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Solution

The fourth proportional to 1,574.40, 2,359.68 and 1,378.88 is: 2,066.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.40 : 2,359.68 = 1,378.88 : x
  2. Step 2: Convert to fraction form
    1,574.40/2,359.68 = 1,378.88/x
  3. Step 3: Cross multiply
    1,574.40x = 2,359.68 × 1,378.88
  4. Step 4: Simplify right side
    1,574.40x = 3,253,715.56
  5. Step 5: Solve for x
    x = 3,253,715.56/1,574.40
  6. Step 6: Final answer
    x = 2,066.64

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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.