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Finding the Fourth Proportional to 7,123.44, 9,832.98 and 4,290.94

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Solution

The fourth proportional to 7,123.44, 9,832.98 and 4,290.94 is: 5,923.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.44 : 9,832.98 = 4,290.94 : x
  2. Step 2: Convert to fraction form
    7,123.44/9,832.98 = 4,290.94/x
  3. Step 3: Cross multiply
    7,123.44x = 9,832.98 × 4,290.94
  4. Step 4: Simplify right side
    7,123.44x = 42,192,755.58
  5. Step 5: Solve for x
    x = 42,192,755.58/7,123.44
  6. Step 6: Final answer
    x = 5,923.08

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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.