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Finding the Fourth Proportional to 11,287, 15,576.06 and 6,319

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Solution

The fourth proportional to 11,287, 15,576.06 and 6,319 is: 8,720.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287 : 15,576.06 = 6,319 : x
  2. Step 2: Convert to fraction form
    11,287/15,576.06 = 6,319/x
  3. Step 3: Cross multiply
    11,287x = 15,576.06 × 6,319
  4. Step 4: Simplify right side
    11,287x = 98,425,123.14
  5. Step 5: Solve for x
    x = 98,425,123.14/11,287
  6. Step 6: Final answer
    x = 8,720.22

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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.