Home / 1,461.41-2,016.75-831.92

Finding the Fourth Proportional to 1,461.41, 2,016.75 and 831.92

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Solution

The fourth proportional to 1,461.41, 2,016.75 and 831.92 is: 1,148.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.41 : 2,016.75 = 831.92 : x
  2. Step 2: Convert to fraction form
    1,461.41/2,016.75 = 831.92/x
  3. Step 3: Cross multiply
    1,461.41x = 2,016.75 × 831.92
  4. Step 4: Simplify right side
    1,461.41x = 1,677,774.66
  5. Step 5: Solve for x
    x = 1,677,774.66/1,461.41
  6. Step 6: Final answer
    x = 1,148.05

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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.