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Finding the Fourth Proportional to 7,875, 11,805.17 and 3,490.02

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Solution

The fourth proportional to 7,875, 11,805.17 and 3,490.02 is: 5,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875 : 11,805.17 = 3,490.02 : x
  2. Step 2: Convert to fraction form
    7,875/11,805.17 = 3,490.02/x
  3. Step 3: Cross multiply
    7,875x = 11,805.17 × 3,490.02
  4. Step 4: Simplify right side
    7,875x = 41,200,261.95
  5. Step 5: Solve for x
    x = 41,200,261.95/7,875
  6. Step 6: Final answer
    x = 5,231.78

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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.