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Finding the Fourth Proportional to 2,831.96, 4,245.84 and 883.10

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Solution

The fourth proportional to 2,831.96, 4,245.84 and 883.10 is: 1,324.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.96 : 4,245.84 = 883.10 : x
  2. Step 2: Convert to fraction form
    2,831.96/4,245.84 = 883.10/x
  3. Step 3: Cross multiply
    2,831.96x = 4,245.84 × 883.10
  4. Step 4: Simplify right side
    2,831.96x = 3,749,501.30
  5. Step 5: Solve for x
    x = 3,749,501.30/2,831.96
  6. Step 6: Final answer
    x = 1,324.00

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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.