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Finding the Fourth Proportional to 13,486.84, 20,224 and 4,124.48

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Solution

The fourth proportional to 13,486.84, 20,224 and 4,124.48 is: 6,184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,486.84 : 20,224 = 4,124.48 : x
  2. Step 2: Convert to fraction form
    13,486.84/20,224 = 4,124.48/x
  3. Step 3: Cross multiply
    13,486.84x = 20,224 × 4,124.48
  4. Step 4: Simplify right side
    13,486.84x = 83,413,483.52
  5. Step 5: Solve for x
    x = 83,413,483.52/13,486.84
  6. Step 6: Final answer
    x = 6,184.81

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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.