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Finding the Fourth Proportional to 6,688.40, 10,043.40 and 3,917.30

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Solution

The fourth proportional to 6,688.40, 10,043.40 and 3,917.30 is: 5,882.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.40 : 10,043.40 = 3,917.30 : x
  2. Step 2: Convert to fraction form
    6,688.40/10,043.40 = 3,917.30/x
  3. Step 3: Cross multiply
    6,688.40x = 10,043.40 × 3,917.30
  4. Step 4: Simplify right side
    6,688.40x = 39,343,010.82
  5. Step 5: Solve for x
    x = 39,343,010.82/6,688.40
  6. Step 6: Final answer
    x = 5,882.28

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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.