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Finding the Fourth Proportional to 10,488.63, 15,728.09 and 3,910.08

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Solution

The fourth proportional to 10,488.63, 15,728.09 and 3,910.08 is: 5,863.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.63 : 15,728.09 = 3,910.08 : x
  2. Step 2: Convert to fraction form
    10,488.63/15,728.09 = 3,910.08/x
  3. Step 3: Cross multiply
    10,488.63x = 15,728.09 × 3,910.08
  4. Step 4: Simplify right side
    10,488.63x = 61,498,070.60
  5. Step 5: Solve for x
    x = 61,498,070.60/10,488.63
  6. Step 6: Final answer
    x = 5,863.31

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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.