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Finding the Fourth Proportional to 13,860, 20,792.88 and 5,652

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Solution

The fourth proportional to 13,860, 20,792.88 and 5,652 is: 8,479.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,860 : 20,792.88 = 5,652 : x
  2. Step 2: Convert to fraction form
    13,860/20,792.88 = 5,652/x
  3. Step 3: Cross multiply
    13,860x = 20,792.88 × 5,652
  4. Step 4: Simplify right side
    13,860x = 117,521,357.76
  5. Step 5: Solve for x
    x = 117,521,357.76/13,860
  6. Step 6: Final answer
    x = 8,479.17

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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.