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Finding the Fourth Proportional to 5,641.50, 7,784.97 and 3,123.56

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Solution

The fourth proportional to 5,641.50, 7,784.97 and 3,123.56 is: 4,310.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.50 : 7,784.97 = 3,123.56 : x
  2. Step 2: Convert to fraction form
    5,641.50/7,784.97 = 3,123.56/x
  3. Step 3: Cross multiply
    5,641.50x = 7,784.97 × 3,123.56
  4. Step 4: Simplify right side
    5,641.50x = 24,316,813.08
  5. Step 5: Solve for x
    x = 24,316,813.08/5,641.50
  6. Step 6: Final answer
    x = 4,310.35

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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.