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Finding the Fourth Proportional to 7,127.76, 9,821.64 and 6,418.20

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Solution

The fourth proportional to 7,127.76, 9,821.64 and 6,418.20 is: 8,843.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.76 : 9,821.64 = 6,418.20 : x
  2. Step 2: Convert to fraction form
    7,127.76/9,821.64 = 6,418.20/x
  3. Step 3: Cross multiply
    7,127.76x = 9,821.64 × 6,418.20
  4. Step 4: Simplify right side
    7,127.76x = 63,037,249.85
  5. Step 5: Solve for x
    x = 63,037,249.85/7,127.76
  6. Step 6: Final answer
    x = 8,843.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.