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Finding the Fourth Proportional to 5,896.88, 8,856.60 and 3,710

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Solution

The fourth proportional to 5,896.88, 8,856.60 and 3,710 is: 5,572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.88 : 8,856.60 = 3,710 : x
  2. Step 2: Convert to fraction form
    5,896.88/8,856.60 = 3,710/x
  3. Step 3: Cross multiply
    5,896.88x = 8,856.60 × 3,710
  4. Step 4: Simplify right side
    5,896.88x = 32,857,986
  5. Step 5: Solve for x
    x = 32,857,986/5,896.88
  6. Step 6: Final answer
    x = 5,572.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.