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Finding the Fourth Proportional to 10,400.88, 15,604.08 and 3,005.22

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Solution

The fourth proportional to 10,400.88, 15,604.08 and 3,005.22 is: 4,508.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.88 : 15,604.08 = 3,005.22 : x
  2. Step 2: Convert to fraction form
    10,400.88/15,604.08 = 3,005.22/x
  3. Step 3: Cross multiply
    10,400.88x = 15,604.08 × 3,005.22
  4. Step 4: Simplify right side
    10,400.88x = 46,893,693.30
  5. Step 5: Solve for x
    x = 46,893,693.30/10,400.88
  6. Step 6: Final answer
    x = 4,508.63

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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.