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Finding the Fourth Proportional to 11,218.50, 16,830.18 and 4,293

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Solution

The fourth proportional to 11,218.50, 16,830.18 and 4,293 is: 6,440.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,218.50 : 16,830.18 = 4,293 : x
  2. Step 2: Convert to fraction form
    11,218.50/16,830.18 = 4,293/x
  3. Step 3: Cross multiply
    11,218.50x = 16,830.18 × 4,293
  4. Step 4: Simplify right side
    11,218.50x = 72,251,962.74
  5. Step 5: Solve for x
    x = 72,251,962.74/11,218.50
  6. Step 6: Final answer
    x = 6,440.43

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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.