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Finding the Fourth Proportional to 6,921.91, 10,384.22 and 2,539.40

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Solution

The fourth proportional to 6,921.91, 10,384.22 and 2,539.40 is: 3,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921.91 : 10,384.22 = 2,539.40 : x
  2. Step 2: Convert to fraction form
    6,921.91/10,384.22 = 2,539.40/x
  3. Step 3: Cross multiply
    6,921.91x = 10,384.22 × 2,539.40
  4. Step 4: Simplify right side
    6,921.91x = 26,369,720.58
  5. Step 5: Solve for x
    x = 26,369,720.58/6,921.91
  6. Step 6: Final answer
    x = 3,809.60

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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.