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Finding the Fourth Proportional to 2,831.16, 4,246.20 and 983.48

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Solution

The fourth proportional to 2,831.16, 4,246.20 and 983.48 is: 1,475.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.16 : 4,246.20 = 983.48 : x
  2. Step 2: Convert to fraction form
    2,831.16/4,246.20 = 983.48/x
  3. Step 3: Cross multiply
    2,831.16x = 4,246.20 × 983.48
  4. Step 4: Simplify right side
    2,831.16x = 4,176,052.78
  5. Step 5: Solve for x
    x = 4,176,052.78/2,831.16
  6. Step 6: Final answer
    x = 1,475.03

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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.