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Finding the Fourth Proportional to 5,640.95, 7,784.42 and 3,123.01

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Solution

The fourth proportional to 5,640.95, 7,784.42 and 3,123.01 is: 4,309.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.95 : 7,784.42 = 3,123.01 : x
  2. Step 2: Convert to fraction form
    5,640.95/7,784.42 = 3,123.01/x
  3. Step 3: Cross multiply
    5,640.95x = 7,784.42 × 3,123.01
  4. Step 4: Simplify right side
    5,640.95x = 24,310,821.50
  5. Step 5: Solve for x
    x = 24,310,821.50/5,640.95
  6. Step 6: Final answer
    x = 4,309.70

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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.