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Finding the Fourth Proportional to 6,646.76, 9,971.87 and 2,487.09

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Solution

The fourth proportional to 6,646.76, 9,971.87 and 2,487.09 is: 3,731.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.76 : 9,971.87 = 2,487.09 : x
  2. Step 2: Convert to fraction form
    6,646.76/9,971.87 = 2,487.09/x
  3. Step 3: Cross multiply
    6,646.76x = 9,971.87 × 2,487.09
  4. Step 4: Simplify right side
    6,646.76x = 24,800,956.09
  5. Step 5: Solve for x
    x = 24,800,956.09/6,646.76
  6. Step 6: Final answer
    x = 3,731.29

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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.