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Finding the Fourth Proportional to 15,854, 21,879.64 and 9,566

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Solution

The fourth proportional to 15,854, 21,879.64 and 9,566 is: 13,201.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,854 : 21,879.64 = 9,566 : x
  2. Step 2: Convert to fraction form
    15,854/21,879.64 = 9,566/x
  3. Step 3: Cross multiply
    15,854x = 21,879.64 × 9,566
  4. Step 4: Simplify right side
    15,854x = 209,300,636.24
  5. Step 5: Solve for x
    x = 209,300,636.24/15,854
  6. Step 6: Final answer
    x = 13,201.76

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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.