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Finding the Fourth Proportional to 6,387.63, 9,581.45 and 2,005.43

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Solution

The fourth proportional to 6,387.63, 9,581.45 and 2,005.43 is: 3,008.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.63 : 9,581.45 = 2,005.43 : x
  2. Step 2: Convert to fraction form
    6,387.63/9,581.45 = 2,005.43/x
  3. Step 3: Cross multiply
    6,387.63x = 9,581.45 × 2,005.43
  4. Step 4: Simplify right side
    6,387.63x = 19,214,869.34
  5. Step 5: Solve for x
    x = 19,214,869.34/6,387.63
  6. Step 6: Final answer
    x = 3,008.14

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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.