Home / 1,461.19-2,016.49-831.81

Finding the Fourth Proportional to 1,461.19, 2,016.49 and 831.81

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Solution

The fourth proportional to 1,461.19, 2,016.49 and 831.81 is: 1,147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.19 : 2,016.49 = 831.81 : x
  2. Step 2: Convert to fraction form
    1,461.19/2,016.49 = 831.81/x
  3. Step 3: Cross multiply
    1,461.19x = 2,016.49 × 831.81
  4. Step 4: Simplify right side
    1,461.19x = 1,677,336.55
  5. Step 5: Solve for x
    x = 1,677,336.55/1,461.19
  6. Step 6: Final answer
    x = 1,147.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.