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Finding the Fourth Proportional to 6,657.28, 9,985.43 and 2,274.64

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Solution

The fourth proportional to 6,657.28, 9,985.43 and 2,274.64 is: 3,411.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.28 : 9,985.43 = 2,274.64 : x
  2. Step 2: Convert to fraction form
    6,657.28/9,985.43 = 2,274.64/x
  3. Step 3: Cross multiply
    6,657.28x = 9,985.43 × 2,274.64
  4. Step 4: Simplify right side
    6,657.28x = 22,713,239.22
  5. Step 5: Solve for x
    x = 22,713,239.22/6,657.28
  6. Step 6: Final answer
    x = 3,411.79

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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.