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Finding the Fourth Proportional to 15,891.64, 21,937.68 and 10,864

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Solution

The fourth proportional to 15,891.64, 21,937.68 and 10,864 is: 14,997.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.64 : 21,937.68 = 10,864 : x
  2. Step 2: Convert to fraction form
    15,891.64/21,937.68 = 10,864/x
  3. Step 3: Cross multiply
    15,891.64x = 21,937.68 × 10,864
  4. Step 4: Simplify right side
    15,891.64x = 238,330,955.52
  5. Step 5: Solve for x
    x = 238,330,955.52/15,891.64
  6. Step 6: Final answer
    x = 14,997.25

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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.