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Finding the Fourth Proportional to 6,002.50, 9,004.78 and 2,671.96

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Solution

The fourth proportional to 6,002.50, 9,004.78 and 2,671.96 is: 4,008.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.50 : 9,004.78 = 2,671.96 : x
  2. Step 2: Convert to fraction form
    6,002.50/9,004.78 = 2,671.96/x
  3. Step 3: Cross multiply
    6,002.50x = 9,004.78 × 2,671.96
  4. Step 4: Simplify right side
    6,002.50x = 24,060,411.97
  5. Step 5: Solve for x
    x = 24,060,411.97/6,002.50
  6. Step 6: Final answer
    x = 4,008.40

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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.