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Finding the Fourth Proportional to 5,641.44, 7,784.79 and 3,123.30

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Solution

The fourth proportional to 5,641.44, 7,784.79 and 3,123.30 is: 4,309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.44 : 7,784.79 = 3,123.30 : x
  2. Step 2: Convert to fraction form
    5,641.44/7,784.79 = 3,123.30/x
  3. Step 3: Cross multiply
    5,641.44x = 7,784.79 × 3,123.30
  4. Step 4: Simplify right side
    5,641.44x = 24,314,234.61
  5. Step 5: Solve for x
    x = 24,314,234.61/5,641.44
  6. Step 6: Final answer
    x = 4,309.93

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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.