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Finding the Fourth Proportional to 6,906.72, 10,360.40 and 1,977.06

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Solution

The fourth proportional to 6,906.72, 10,360.40 and 1,977.06 is: 2,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.72 : 10,360.40 = 1,977.06 : x
  2. Step 2: Convert to fraction form
    6,906.72/10,360.40 = 1,977.06/x
  3. Step 3: Cross multiply
    6,906.72x = 10,360.40 × 1,977.06
  4. Step 4: Simplify right side
    6,906.72x = 20,483,132.42
  5. Step 5: Solve for x
    x = 20,483,132.42/6,906.72
  6. Step 6: Final answer
    x = 2,965.68

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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.