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Finding the Fourth Proportional to 6,580.46, 9,870.21 and 2,138.01

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Solution

The fourth proportional to 6,580.46, 9,870.21 and 2,138.01 is: 3,206.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,580.46 : 9,870.21 = 2,138.01 : x
  2. Step 2: Convert to fraction form
    6,580.46/9,870.21 = 2,138.01/x
  3. Step 3: Cross multiply
    6,580.46x = 9,870.21 × 2,138.01
  4. Step 4: Simplify right side
    6,580.46x = 21,102,607.68
  5. Step 5: Solve for x
    x = 21,102,607.68/6,580.46
  6. Step 6: Final answer
    x = 3,206.86

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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.