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Finding the Fourth Proportional to 8,412.83, 12,605.40 and 5,115.99

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Solution

The fourth proportional to 8,412.83, 12,605.40 and 5,115.99 is: 7,665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.83 : 12,605.40 = 5,115.99 : x
  2. Step 2: Convert to fraction form
    8,412.83/12,605.40 = 5,115.99/x
  3. Step 3: Cross multiply
    8,412.83x = 12,605.40 × 5,115.99
  4. Step 4: Simplify right side
    8,412.83x = 64,489,100.35
  5. Step 5: Solve for x
    x = 64,489,100.35/8,412.83
  6. Step 6: Final answer
    x = 7,665.57

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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.