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Finding the Fourth Proportional to 10,128, 15,191.52 and 3,201.60

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Solution

The fourth proportional to 10,128, 15,191.52 and 3,201.60 is: 4,802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,128 : 15,191.52 = 3,201.60 : x
  2. Step 2: Convert to fraction form
    10,128/15,191.52 = 3,201.60/x
  3. Step 3: Cross multiply
    10,128x = 15,191.52 × 3,201.60
  4. Step 4: Simplify right side
    10,128x = 48,637,170.43
  5. Step 5: Solve for x
    x = 48,637,170.43/10,128
  6. Step 6: Final answer
    x = 4,802.25

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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.