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Finding the Fourth Proportional to 7,127.85, 9,822.83 and 6,194.73

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Solution

The fourth proportional to 7,127.85, 9,822.83 and 6,194.73 is: 8,536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,127.85 : 9,822.83 = 6,194.73 : x
  2. Step 2: Convert to fraction form
    7,127.85/9,822.83 = 6,194.73/x
  3. Step 3: Cross multiply
    7,127.85x = 9,822.83 × 6,194.73
  4. Step 4: Simplify right side
    7,127.85x = 60,849,748.71
  5. Step 5: Solve for x
    x = 60,849,748.71/7,127.85
  6. Step 6: Final answer
    x = 8,536.90

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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.