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Finding the Fourth Proportional to 15,238, 21,031.32 and 8,614

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Solution

The fourth proportional to 15,238, 21,031.32 and 8,614 is: 11,888.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,238 : 21,031.32 = 8,614 : x
  2. Step 2: Convert to fraction form
    15,238/21,031.32 = 8,614/x
  3. Step 3: Cross multiply
    15,238x = 21,031.32 × 8,614
  4. Step 4: Simplify right side
    15,238x = 181,163,790.48
  5. Step 5: Solve for x
    x = 181,163,790.48/15,238
  6. Step 6: Final answer
    x = 11,888.95

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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.