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Finding the Fourth Proportional to 3,688.44, 5,532.50 and 915.05

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Solution

The fourth proportional to 3,688.44, 5,532.50 and 915.05 is: 1,372.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,688.44 : 5,532.50 = 915.05 : x
  2. Step 2: Convert to fraction form
    3,688.44/5,532.50 = 915.05/x
  3. Step 3: Cross multiply
    3,688.44x = 5,532.50 × 915.05
  4. Step 4: Simplify right side
    3,688.44x = 5,062,499.12
  5. Step 5: Solve for x
    x = 5,062,499.12/3,688.44
  6. Step 6: Final answer
    x = 1,372.53

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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.