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Finding the Fourth Proportional to 6,977.03, 10,465.64 and 1,782.90

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Solution

The fourth proportional to 6,977.03, 10,465.64 and 1,782.90 is: 2,674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.03 : 10,465.64 = 1,782.90 : x
  2. Step 2: Convert to fraction form
    6,977.03/10,465.64 = 1,782.90/x
  3. Step 3: Cross multiply
    6,977.03x = 10,465.64 × 1,782.90
  4. Step 4: Simplify right side
    6,977.03x = 18,659,180.64
  5. Step 5: Solve for x
    x = 18,659,180.64/6,977.03
  6. Step 6: Final answer
    x = 2,674.37

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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.