Home / 11,744.64-16,214.12-7,988

Finding the Fourth Proportional to 11,744.64, 16,214.12 and 7,988

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Solution

The fourth proportional to 11,744.64, 16,214.12 and 7,988 is: 11,027.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,744.64 : 16,214.12 = 7,988 : x
  2. Step 2: Convert to fraction form
    11,744.64/16,214.12 = 7,988/x
  3. Step 3: Cross multiply
    11,744.64x = 16,214.12 × 7,988
  4. Step 4: Simplify right side
    11,744.64x = 129,518,390.56
  5. Step 5: Solve for x
    x = 129,518,390.56/11,744.64
  6. Step 6: Final answer
    x = 11,027.87

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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.