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Finding the Fourth Proportional to 2,831.49, 4,245.89 and 882.63

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Solution

The fourth proportional to 2,831.49, 4,245.89 and 882.63 is: 1,323.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,831.49 : 4,245.89 = 882.63 : x
  2. Step 2: Convert to fraction form
    2,831.49/4,245.89 = 882.63/x
  3. Step 3: Cross multiply
    2,831.49x = 4,245.89 × 882.63
  4. Step 4: Simplify right side
    2,831.49x = 3,747,545.48
  5. Step 5: Solve for x
    x = 3,747,545.48/2,831.49
  6. Step 6: Final answer
    x = 1,323.52

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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.