Home / 3,886.24-5,831.78-1,695

Finding the Fourth Proportional to 3,886.24, 5,831.78 and 1,695

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Solution

The fourth proportional to 3,886.24, 5,831.78 and 1,695 is: 2,543.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.24 : 5,831.78 = 1,695 : x
  2. Step 2: Convert to fraction form
    3,886.24/5,831.78 = 1,695/x
  3. Step 3: Cross multiply
    3,886.24x = 5,831.78 × 1,695
  4. Step 4: Simplify right side
    3,886.24x = 9,884,867.10
  5. Step 5: Solve for x
    x = 9,884,867.10/3,886.24
  6. Step 6: Final answer
    x = 2,543.56

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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.