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Finding the Fourth Proportional to 11,392, 15,720.96 and 6,424

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Solution

The fourth proportional to 11,392, 15,720.96 and 6,424 is: 8,865.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,392 : 15,720.96 = 6,424 : x
  2. Step 2: Convert to fraction form
    11,392/15,720.96 = 6,424/x
  3. Step 3: Cross multiply
    11,392x = 15,720.96 × 6,424
  4. Step 4: Simplify right side
    11,392x = 100,991,447.04
  5. Step 5: Solve for x
    x = 100,991,447.04/11,392
  6. Step 6: Final answer
    x = 8,865.12

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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.