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Finding the Fourth Proportional to 8,473.09, 12,710 and 3,207.59

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Solution

The fourth proportional to 8,473.09, 12,710 and 3,207.59 is: 4,811.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.09 : 12,710 = 3,207.59 : x
  2. Step 2: Convert to fraction form
    8,473.09/12,710 = 3,207.59/x
  3. Step 3: Cross multiply
    8,473.09x = 12,710 × 3,207.59
  4. Step 4: Simplify right side
    8,473.09x = 40,768,468.90
  5. Step 5: Solve for x
    x = 40,768,468.90/8,473.09
  6. Step 6: Final answer
    x = 4,811.52

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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.