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Finding the Fourth Proportional to 11,407, 15,741.66 and 6,439

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Solution

The fourth proportional to 11,407, 15,741.66 and 6,439 is: 8,885.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407 : 15,741.66 = 6,439 : x
  2. Step 2: Convert to fraction form
    11,407/15,741.66 = 6,439/x
  3. Step 3: Cross multiply
    11,407x = 15,741.66 × 6,439
  4. Step 4: Simplify right side
    11,407x = 101,360,548.74
  5. Step 5: Solve for x
    x = 101,360,548.74/11,407
  6. Step 6: Final answer
    x = 8,885.82

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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.