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Finding the Fourth Proportional to 21,986.84, 32,979.96 and 5,347

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Solution

The fourth proportional to 21,986.84, 32,979.96 and 5,347 is: 8,020.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,986.84 : 32,979.96 = 5,347 : x
  2. Step 2: Convert to fraction form
    21,986.84/32,979.96 = 5,347/x
  3. Step 3: Cross multiply
    21,986.84x = 32,979.96 × 5,347
  4. Step 4: Simplify right side
    21,986.84x = 176,343,846.12
  5. Step 5: Solve for x
    x = 176,343,846.12/21,986.84
  6. Step 6: Final answer
    x = 8,020.43

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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.