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Finding the Fourth Proportional to 9,031.72, 13,557.32 and 7,586.68

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Solution

The fourth proportional to 9,031.72, 13,557.32 and 7,586.68 is: 11,388.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.72 : 13,557.32 = 7,586.68 : x
  2. Step 2: Convert to fraction form
    9,031.72/13,557.32 = 7,586.68/x
  3. Step 3: Cross multiply
    9,031.72x = 13,557.32 × 7,586.68
  4. Step 4: Simplify right side
    9,031.72x = 102,855,048.50
  5. Step 5: Solve for x
    x = 102,855,048.50/9,031.72
  6. Step 6: Final answer
    x = 11,388.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.