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Finding the Fourth Proportional to 8,291.69, 12,420.87 and 4,119.08

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Solution

The fourth proportional to 8,291.69, 12,420.87 and 4,119.08 is: 6,170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,291.69 : 12,420.87 = 4,119.08 : x
  2. Step 2: Convert to fraction form
    8,291.69/12,420.87 = 4,119.08/x
  3. Step 3: Cross multiply
    8,291.69x = 12,420.87 × 4,119.08
  4. Step 4: Simplify right side
    8,291.69x = 51,162,495.10
  5. Step 5: Solve for x
    x = 51,162,495.10/8,291.69
  6. Step 6: Final answer
    x = 6,170.34

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1.5x scale

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.