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Finding the Fourth Proportional to 10,201.32, 15,300 and 3,627.60

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Solution

The fourth proportional to 10,201.32, 15,300 and 3,627.60 is: 5,440.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.32 : 15,300 = 3,627.60 : x
  2. Step 2: Convert to fraction form
    10,201.32/15,300 = 3,627.60/x
  3. Step 3: Cross multiply
    10,201.32x = 15,300 × 3,627.60
  4. Step 4: Simplify right side
    10,201.32x = 55,502,280
  5. Step 5: Solve for x
    x = 55,502,280/10,201.32
  6. Step 6: Final answer
    x = 5,440.70

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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.