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Finding the Fourth Proportional to 5,985.57, 8,960.78 and 4,200.42

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Solution

The fourth proportional to 5,985.57, 8,960.78 and 4,200.42 is: 6,288.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.57 : 8,960.78 = 4,200.42 : x
  2. Step 2: Convert to fraction form
    5,985.57/8,960.78 = 4,200.42/x
  3. Step 3: Cross multiply
    5,985.57x = 8,960.78 × 4,200.42
  4. Step 4: Simplify right side
    5,985.57x = 37,638,973.72
  5. Step 5: Solve for x
    x = 37,638,973.72/5,985.57
  6. Step 6: Final answer
    x = 6,288.29

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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.