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Finding the Fourth Proportional to 11,818, 16,298.90 and 7,101.37

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Solution

The fourth proportional to 11,818, 16,298.90 and 7,101.37 is: 9,793.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,818 : 16,298.90 = 7,101.37 : x
  2. Step 2: Convert to fraction form
    11,818/16,298.90 = 7,101.37/x
  3. Step 3: Cross multiply
    11,818x = 16,298.90 × 7,101.37
  4. Step 4: Simplify right side
    11,818x = 115,744,519.49
  5. Step 5: Solve for x
    x = 115,744,519.49/11,818
  6. Step 6: Final answer
    x = 9,793.92

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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.