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Finding the Fourth Proportional to 15,219.46, 21,016.21 and 9,564

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Solution

The fourth proportional to 15,219.46, 21,016.21 and 9,564 is: 13,206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,219.46 : 21,016.21 = 9,564 : x
  2. Step 2: Convert to fraction form
    15,219.46/21,016.21 = 9,564/x
  3. Step 3: Cross multiply
    15,219.46x = 21,016.21 × 9,564
  4. Step 4: Simplify right side
    15,219.46x = 200,999,032.44
  5. Step 5: Solve for x
    x = 200,999,032.44/15,219.46
  6. Step 6: Final answer
    x = 13,206.72

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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.