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Finding the Fourth Proportional to 15,219, 21,001.50 and 8,931

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Solution

The fourth proportional to 15,219, 21,001.50 and 8,931 is: 12,324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,219 : 21,001.50 = 8,931 : x
  2. Step 2: Convert to fraction form
    15,219/21,001.50 = 8,931/x
  3. Step 3: Cross multiply
    15,219x = 21,001.50 × 8,931
  4. Step 4: Simplify right side
    15,219x = 187,564,396.50
  5. Step 5: Solve for x
    x = 187,564,396.50/15,219
  6. Step 6: Final answer
    x = 12,324.36

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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.