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Finding the Fourth Proportional to 13,218.84, 19,813.14 and 5,418

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Solution

The fourth proportional to 13,218.84, 19,813.14 and 5,418 is: 8,120.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,218.84 : 19,813.14 = 5,418 : x
  2. Step 2: Convert to fraction form
    13,218.84/19,813.14 = 5,418/x
  3. Step 3: Cross multiply
    13,218.84x = 19,813.14 × 5,418
  4. Step 4: Simplify right side
    13,218.84x = 107,347,592.52
  5. Step 5: Solve for x
    x = 107,347,592.52/13,218.84
  6. Step 6: Final answer
    x = 8,120.80

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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.