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Finding the Fourth Proportional to 7,917, 11,875.50 and 3,412.21

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Solution

The fourth proportional to 7,917, 11,875.50 and 3,412.21 is: 5,118.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917 : 11,875.50 = 3,412.21 : x
  2. Step 2: Convert to fraction form
    7,917/11,875.50 = 3,412.21/x
  3. Step 3: Cross multiply
    7,917x = 11,875.50 × 3,412.21
  4. Step 4: Simplify right side
    7,917x = 40,521,699.86
  5. Step 5: Solve for x
    x = 40,521,699.86/7,917
  6. Step 6: Final answer
    x = 5,118.32

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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.