Home / 2,831.82-4,246.47-856.70

Finding the Fourth Proportional to 2,831.82, 4,246.47 and 856.70

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Solution

The fourth proportional to 2,831.82, 4,246.47 and 856.70 is: 1,284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.82 : 4,246.47 = 856.70 : x
  2. Step 2: Convert to fraction form
    2,831.82/4,246.47 = 856.70/x
  3. Step 3: Cross multiply
    2,831.82x = 4,246.47 × 856.70
  4. Step 4: Simplify right side
    2,831.82x = 3,637,929.62
  5. Step 5: Solve for x
    x = 3,637,929.62/2,831.82
  6. Step 6: Final answer
    x = 1,284.66

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1.5x scale

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.