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Finding the Fourth Proportional to 21,243.88, 31,860.06 and 8,929

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Solution

The fourth proportional to 21,243.88, 31,860.06 and 8,929 is: 13,391.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,243.88 : 31,860.06 = 8,929 : x
  2. Step 2: Convert to fraction form
    21,243.88/31,860.06 = 8,929/x
  3. Step 3: Cross multiply
    21,243.88x = 31,860.06 × 8,929
  4. Step 4: Simplify right side
    21,243.88x = 284,478,475.74
  5. Step 5: Solve for x
    x = 284,478,475.74/21,243.88
  6. Step 6: Final answer
    x = 13,391.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.