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Finding the Fourth Proportional to 6,663.88, 9,992.94 and 2,557

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Solution

The fourth proportional to 6,663.88, 9,992.94 and 2,557 is: 3,834.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,663.88 : 9,992.94 = 2,557 : x
  2. Step 2: Convert to fraction form
    6,663.88/9,992.94 = 2,557/x
  3. Step 3: Cross multiply
    6,663.88x = 9,992.94 × 2,557
  4. Step 4: Simplify right side
    6,663.88x = 25,551,947.58
  5. Step 5: Solve for x
    x = 25,551,947.58/6,663.88
  6. Step 6: Final answer
    x = 3,834.39

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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.