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Finding the Fourth Proportional to 8,112, 11,193.24 and 4,575

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Solution

The fourth proportional to 8,112, 11,193.24 and 4,575 is: 6,312.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112 : 11,193.24 = 4,575 : x
  2. Step 2: Convert to fraction form
    8,112/11,193.24 = 4,575/x
  3. Step 3: Cross multiply
    8,112x = 11,193.24 × 4,575
  4. Step 4: Simplify right side
    8,112x = 51,209,073
  5. Step 5: Solve for x
    x = 51,209,073/8,112
  6. Step 6: Final answer
    x = 6,312.76

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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.