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Finding the Fourth Proportional to 3,688.10, 5,532 and 914.78

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Solution

The fourth proportional to 3,688.10, 5,532 and 914.78 is: 1,372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.10 : 5,532 = 914.78 : x
  2. Step 2: Convert to fraction form
    3,688.10/5,532 = 914.78/x
  3. Step 3: Cross multiply
    3,688.10x = 5,532 × 914.78
  4. Step 4: Simplify right side
    3,688.10x = 5,060,562.96
  5. Step 5: Solve for x
    x = 5,060,562.96/3,688.10
  6. Step 6: Final answer
    x = 1,372.13

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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.