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Finding the Fourth Proportional to 11,958, 16,502.04 and 6,990

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Solution

The fourth proportional to 11,958, 16,502.04 and 6,990 is: 9,646.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,958 : 16,502.04 = 6,990 : x
  2. Step 2: Convert to fraction form
    11,958/16,502.04 = 6,990/x
  3. Step 3: Cross multiply
    11,958x = 16,502.04 × 6,990
  4. Step 4: Simplify right side
    11,958x = 115,349,259.60
  5. Step 5: Solve for x
    x = 115,349,259.60/11,958
  6. Step 6: Final answer
    x = 9,646.20

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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.