Home / 13,831.84-20,736-6,440.58

Finding the Fourth Proportional to 13,831.84, 20,736 and 6,440.58

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Solution

The fourth proportional to 13,831.84, 20,736 and 6,440.58 is: 9,655.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,831.84 : 20,736 = 6,440.58 : x
  2. Step 2: Convert to fraction form
    13,831.84/20,736 = 6,440.58/x
  3. Step 3: Cross multiply
    13,831.84x = 20,736 × 6,440.58
  4. Step 4: Simplify right side
    13,831.84x = 133,551,866.88
  5. Step 5: Solve for x
    x = 133,551,866.88/13,831.84
  6. Step 6: Final answer
    x = 9,655.39

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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.