Home / 7,831.84-11,749.73-2,285.21

Finding the Fourth Proportional to 7,831.84, 11,749.73 and 2,285.21

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Solution

The fourth proportional to 7,831.84, 11,749.73 and 2,285.21 is: 3,428.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.84 : 11,749.73 = 2,285.21 : x
  2. Step 2: Convert to fraction form
    7,831.84/11,749.73 = 2,285.21/x
  3. Step 3: Cross multiply
    7,831.84x = 11,749.73 × 2,285.21
  4. Step 4: Simplify right side
    7,831.84x = 26,850,637.72
  5. Step 5: Solve for x
    x = 26,850,637.72/7,831.84
  6. Step 6: Final answer
    x = 3,428.39

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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.