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Finding the Fourth Proportional to 15,865.86, 21,899.22 and 9,894

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Solution

The fourth proportional to 15,865.86, 21,899.22 and 9,894 is: 13,656.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865.86 : 21,899.22 = 9,894 : x
  2. Step 2: Convert to fraction form
    15,865.86/21,899.22 = 9,894/x
  3. Step 3: Cross multiply
    15,865.86x = 21,899.22 × 9,894
  4. Step 4: Simplify right side
    15,865.86x = 216,670,882.68
  5. Step 5: Solve for x
    x = 216,670,882.68/15,865.86
  6. Step 6: Final answer
    x = 13,656.42

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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.