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Finding the Fourth Proportional to 7,637, 11,456.94 and 2,165

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Solution

The fourth proportional to 7,637, 11,456.94 and 2,165 is: 3,247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637 : 11,456.94 = 2,165 : x
  2. Step 2: Convert to fraction form
    7,637/11,456.94 = 2,165/x
  3. Step 3: Cross multiply
    7,637x = 11,456.94 × 2,165
  4. Step 4: Simplify right side
    7,637x = 24,804,275.10
  5. Step 5: Solve for x
    x = 24,804,275.10/7,637
  6. Step 6: Final answer
    x = 3,247.91

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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.