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Finding the Fourth Proportional to 4,328.66, 5,972.50 and 2,909.86

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Solution

The fourth proportional to 4,328.66, 5,972.50 and 2,909.86 is: 4,014.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,328.66 : 5,972.50 = 2,909.86 : x
  2. Step 2: Convert to fraction form
    4,328.66/5,972.50 = 2,909.86/x
  3. Step 3: Cross multiply
    4,328.66x = 5,972.50 × 2,909.86
  4. Step 4: Simplify right side
    4,328.66x = 17,379,138.85
  5. Step 5: Solve for x
    x = 17,379,138.85/4,328.66
  6. Step 6: Final answer
    x = 4,014.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.