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Finding the Fourth Proportional to 6,551.80, 9,828.30 and 2,655.40

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Solution

The fourth proportional to 6,551.80, 9,828.30 and 2,655.40 is: 3,983.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.80 : 9,828.30 = 2,655.40 : x
  2. Step 2: Convert to fraction form
    6,551.80/9,828.30 = 2,655.40/x
  3. Step 3: Cross multiply
    6,551.80x = 9,828.30 × 2,655.40
  4. Step 4: Simplify right side
    6,551.80x = 26,098,067.82
  5. Step 5: Solve for x
    x = 26,098,067.82/6,551.80
  6. Step 6: Final answer
    x = 3,983.34

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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.