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Finding the Fourth Proportional to 5,930, 8,895 and 3,008.40

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Solution

The fourth proportional to 5,930, 8,895 and 3,008.40 is: 4,512.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,930 : 8,895 = 3,008.40 : x
  2. Step 2: Convert to fraction form
    5,930/8,895 = 3,008.40/x
  3. Step 3: Cross multiply
    5,930x = 8,895 × 3,008.40
  4. Step 4: Simplify right side
    5,930x = 26,759,718
  5. Step 5: Solve for x
    x = 26,759,718/5,930
  6. Step 6: Final answer
    x = 4,512.60

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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.