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Finding the Fourth Proportional to 10,929, 15,076.62 and 6,894

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Solution

The fourth proportional to 10,929, 15,076.62 and 6,894 is: 9,510.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929 : 15,076.62 = 6,894 : x
  2. Step 2: Convert to fraction form
    10,929/15,076.62 = 6,894/x
  3. Step 3: Cross multiply
    10,929x = 15,076.62 × 6,894
  4. Step 4: Simplify right side
    10,929x = 103,938,218.28
  5. Step 5: Solve for x
    x = 103,938,218.28/10,929
  6. Step 6: Final answer
    x = 9,510.31

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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.