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Finding the Fourth Proportional to 10,920.63, 15,070.62 and 6,204

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Solution

The fourth proportional to 10,920.63, 15,070.62 and 6,204 is: 8,561.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.63 : 15,070.62 = 6,204 : x
  2. Step 2: Convert to fraction form
    10,920.63/15,070.62 = 6,204/x
  3. Step 3: Cross multiply
    10,920.63x = 15,070.62 × 6,204
  4. Step 4: Simplify right side
    10,920.63x = 93,498,126.48
  5. Step 5: Solve for x
    x = 93,498,126.48/10,920.63
  6. Step 6: Final answer
    x = 8,561.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.