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Finding the Fourth Proportional to 8,147.04, 11,242.35 and 4,790

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Solution

The fourth proportional to 8,147.04, 11,242.35 and 4,790 is: 6,609.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,147.04 : 11,242.35 = 4,790 : x
  2. Step 2: Convert to fraction form
    8,147.04/11,242.35 = 4,790/x
  3. Step 3: Cross multiply
    8,147.04x = 11,242.35 × 4,790
  4. Step 4: Simplify right side
    8,147.04x = 53,850,856.50
  5. Step 5: Solve for x
    x = 53,850,856.50/8,147.04
  6. Step 6: Final answer
    x = 6,609.87

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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.