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Finding the Fourth Proportional to 6,646, 9,973.80 and 2,542

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Solution

The fourth proportional to 6,646, 9,973.80 and 2,542 is: 3,814.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646 : 9,973.80 = 2,542 : x
  2. Step 2: Convert to fraction form
    6,646/9,973.80 = 2,542/x
  3. Step 3: Cross multiply
    6,646x = 9,973.80 × 2,542
  4. Step 4: Simplify right side
    6,646x = 25,353,399.60
  5. Step 5: Solve for x
    x = 25,353,399.60/6,646
  6. Step 6: Final answer
    x = 3,814.84

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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.