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Finding the Fourth Proportional to 12,894, 17,792.76 and 7,304.88

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Solution

The fourth proportional to 12,894, 17,792.76 and 7,304.88 is: 10,080.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,894 : 17,792.76 = 7,304.88 : x
  2. Step 2: Convert to fraction form
    12,894/17,792.76 = 7,304.88/x
  3. Step 3: Cross multiply
    12,894x = 17,792.76 × 7,304.88
  4. Step 4: Simplify right side
    12,894x = 129,973,976.67
  5. Step 5: Solve for x
    x = 129,973,976.67/12,894
  6. Step 6: Final answer
    x = 10,080.19

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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.