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Finding the Fourth Proportional to 15,792, 21,792.69 and 8,718.27

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Solution

The fourth proportional to 15,792, 21,792.69 and 8,718.27 is: 12,031.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,792 : 21,792.69 = 8,718.27 : x
  2. Step 2: Convert to fraction form
    15,792/21,792.69 = 8,718.27/x
  3. Step 3: Cross multiply
    15,792x = 21,792.69 × 8,718.27
  4. Step 4: Simplify right side
    15,792x = 189,994,555.45
  5. Step 5: Solve for x
    x = 189,994,555.45/15,792
  6. Step 6: Final answer
    x = 12,031.06

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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.