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Finding the Fourth Proportional to 15,290, 21,100.52 and 8,666

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Solution

The fourth proportional to 15,290, 21,100.52 and 8,666 is: 11,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,290 : 21,100.52 = 8,666 : x
  2. Step 2: Convert to fraction form
    15,290/21,100.52 = 8,666/x
  3. Step 3: Cross multiply
    15,290x = 21,100.52 × 8,666
  4. Step 4: Simplify right side
    15,290x = 182,857,106.32
  5. Step 5: Solve for x
    x = 182,857,106.32/15,290
  6. Step 6: Final answer
    x = 11,959.26

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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.