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Finding the Fourth Proportional to 5,787.86, 7,988.85 and 3,431.30

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Solution

The fourth proportional to 5,787.86, 7,988.85 and 3,431.30 is: 4,736.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.86 : 7,988.85 = 3,431.30 : x
  2. Step 2: Convert to fraction form
    5,787.86/7,988.85 = 3,431.30/x
  3. Step 3: Cross multiply
    5,787.86x = 7,988.85 × 3,431.30
  4. Step 4: Simplify right side
    5,787.86x = 27,412,141.01
  5. Step 5: Solve for x
    x = 27,412,141.01/5,787.86
  6. Step 6: Final answer
    x = 4,736.14

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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.