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Finding the Fourth Proportional to 21,864.38, 32,803.48 and 7,824.08

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Solution

The fourth proportional to 21,864.38, 32,803.48 and 7,824.08 is: 11,738.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,864.38 : 32,803.48 = 7,824.08 : x
  2. Step 2: Convert to fraction form
    21,864.38/32,803.48 = 7,824.08/x
  3. Step 3: Cross multiply
    21,864.38x = 32,803.48 × 7,824.08
  4. Step 4: Simplify right side
    21,864.38x = 256,657,051.80
  5. Step 5: Solve for x
    x = 256,657,051.80/21,864.38
  6. Step 6: Final answer
    x = 11,738.59

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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.