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Finding the Fourth Proportional to 1,461.07, 2,015.92 and 831.54

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Solution

The fourth proportional to 1,461.07, 2,015.92 and 831.54 is: 1,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.07 : 2,015.92 = 831.54 : x
  2. Step 2: Convert to fraction form
    1,461.07/2,015.92 = 831.54/x
  3. Step 3: Cross multiply
    1,461.07x = 2,015.92 × 831.54
  4. Step 4: Simplify right side
    1,461.07x = 1,676,318.12
  5. Step 5: Solve for x
    x = 1,676,318.12/1,461.07
  6. Step 6: Final answer
    x = 1,147.32

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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.