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Finding the Fourth Proportional to 8,021, 11,068.98 and 4,709

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Solution

The fourth proportional to 8,021, 11,068.98 and 4,709 is: 6,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021 : 11,068.98 = 4,709 : x
  2. Step 2: Convert to fraction form
    8,021/11,068.98 = 4,709/x
  3. Step 3: Cross multiply
    8,021x = 11,068.98 × 4,709
  4. Step 4: Simplify right side
    8,021x = 52,123,826.82
  5. Step 5: Solve for x
    x = 52,123,826.82/8,021
  6. Step 6: Final answer
    x = 6,498.42

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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.