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Finding the Fourth Proportional to 21,434.82, 32,146 and 8,284.11

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Solution

The fourth proportional to 21,434.82, 32,146 and 8,284.11 is: 12,423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,434.82 : 32,146 = 8,284.11 : x
  2. Step 2: Convert to fraction form
    21,434.82/32,146 = 8,284.11/x
  3. Step 3: Cross multiply
    21,434.82x = 32,146 × 8,284.11
  4. Step 4: Simplify right side
    21,434.82x = 266,301,000.06
  5. Step 5: Solve for x
    x = 266,301,000.06/21,434.82
  6. Step 6: Final answer
    x = 12,423.76

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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.