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Finding the Fourth Proportional to 6,491.34, 9,731.07 and 2,539.76

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Solution

The fourth proportional to 6,491.34, 9,731.07 and 2,539.76 is: 3,807.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.34 : 9,731.07 = 2,539.76 : x
  2. Step 2: Convert to fraction form
    6,491.34/9,731.07 = 2,539.76/x
  3. Step 3: Cross multiply
    6,491.34x = 9,731.07 × 2,539.76
  4. Step 4: Simplify right side
    6,491.34x = 24,714,533.69
  5. Step 5: Solve for x
    x = 24,714,533.69/6,491.34
  6. Step 6: Final answer
    x = 3,807.31

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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.