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Finding the Fourth Proportional to 3,778.56, 5,663.70 and 1,588.68

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Solution

The fourth proportional to 3,778.56, 5,663.70 and 1,588.68 is: 2,381.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.56 : 5,663.70 = 1,588.68 : x
  2. Step 2: Convert to fraction form
    3,778.56/5,663.70 = 1,588.68/x
  3. Step 3: Cross multiply
    3,778.56x = 5,663.70 × 1,588.68
  4. Step 4: Simplify right side
    3,778.56x = 8,997,806.92
  5. Step 5: Solve for x
    x = 8,997,806.92/3,778.56
  6. Step 6: Final answer
    x = 2,381.28

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1.5x scale

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.