Home / 3,140.68-4,707.56-1,578.20

Finding the Fourth Proportional to 3,140.68, 4,707.56 and 1,578.20

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Solution

The fourth proportional to 3,140.68, 4,707.56 and 1,578.20 is: 2,365.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.68 : 4,707.56 = 1,578.20 : x
  2. Step 2: Convert to fraction form
    3,140.68/4,707.56 = 1,578.20/x
  3. Step 3: Cross multiply
    3,140.68x = 4,707.56 × 1,578.20
  4. Step 4: Simplify right side
    3,140.68x = 7,429,471.19
  5. Step 5: Solve for x
    x = 7,429,471.19/3,140.68
  6. Step 6: Final answer
    x = 2,365.56

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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.