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Finding the Fourth Proportional to 6,580.50, 9,872.10 and 2,138.40

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Solution

The fourth proportional to 6,580.50, 9,872.10 and 2,138.40 is: 3,208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.50 : 9,872.10 = 2,138.40 : x
  2. Step 2: Convert to fraction form
    6,580.50/9,872.10 = 2,138.40/x
  3. Step 3: Cross multiply
    6,580.50x = 9,872.10 × 2,138.40
  4. Step 4: Simplify right side
    6,580.50x = 21,110,498.64
  5. Step 5: Solve for x
    x = 21,110,498.64/6,580.50
  6. Step 6: Final answer
    x = 3,208.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.