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Finding the Fourth Proportional to 3,136.60, 4,703.91 and 944.77

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Solution

The fourth proportional to 3,136.60, 4,703.91 and 944.77 is: 1,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.60 : 4,703.91 = 944.77 : x
  2. Step 2: Convert to fraction form
    3,136.60/4,703.91 = 944.77/x
  3. Step 3: Cross multiply
    3,136.60x = 4,703.91 × 944.77
  4. Step 4: Simplify right side
    3,136.60x = 4,444,113.05
  5. Step 5: Solve for x
    x = 4,444,113.05/3,136.60
  6. Step 6: Final answer
    x = 1,416.86

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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.