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Finding the Fourth Proportional to 5,898.80, 8,142.90 and 3,905.84

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Solution

The fourth proportional to 5,898.80, 8,142.90 and 3,905.84 is: 5,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.80 : 8,142.90 = 3,905.84 : x
  2. Step 2: Convert to fraction form
    5,898.80/8,142.90 = 3,905.84/x
  3. Step 3: Cross multiply
    5,898.80x = 8,142.90 × 3,905.84
  4. Step 4: Simplify right side
    5,898.80x = 31,804,864.54
  5. Step 5: Solve for x
    x = 31,804,864.54/5,898.80
  6. Step 6: Final answer
    x = 5,391.75

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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.