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Finding the Fourth Proportional to 6,561.80, 9,843.90 and 2,666.60

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Solution

The fourth proportional to 6,561.80, 9,843.90 and 2,666.60 is: 4,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.80 : 9,843.90 = 2,666.60 : x
  2. Step 2: Convert to fraction form
    6,561.80/9,843.90 = 2,666.60/x
  3. Step 3: Cross multiply
    6,561.80x = 9,843.90 × 2,666.60
  4. Step 4: Simplify right side
    6,561.80x = 26,249,743.74
  5. Step 5: Solve for x
    x = 26,249,743.74/6,561.80
  6. Step 6: Final answer
    x = 4,000.39

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1.5x scale

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.