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Finding the Fourth Proportional to 6,724, 10,087.62 and 2,107

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Solution

The fourth proportional to 6,724, 10,087.62 and 2,107 is: 3,161.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724 : 10,087.62 = 2,107 : x
  2. Step 2: Convert to fraction form
    6,724/10,087.62 = 2,107/x
  3. Step 3: Cross multiply
    6,724x = 10,087.62 × 2,107
  4. Step 4: Simplify right side
    6,724x = 21,254,615.34
  5. Step 5: Solve for x
    x = 21,254,615.34/6,724
  6. Step 6: Final answer
    x = 3,161.01

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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.