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Finding the Fourth Proportional to 10,648.80, 15,975.60 and 3,253.60

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Solution

The fourth proportional to 10,648.80, 15,975.60 and 3,253.60 is: 4,881.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,648.80 : 15,975.60 = 3,253.60 : x
  2. Step 2: Convert to fraction form
    10,648.80/15,975.60 = 3,253.60/x
  3. Step 3: Cross multiply
    10,648.80x = 15,975.60 × 3,253.60
  4. Step 4: Simplify right side
    10,648.80x = 51,978,212.16
  5. Step 5: Solve for x
    x = 51,978,212.16/10,648.80
  6. Step 6: Final answer
    x = 4,881.13

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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.