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Finding the Fourth Proportional to 7,128.48, 9,836.64 and 3,984

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Solution

The fourth proportional to 7,128.48, 9,836.64 and 3,984 is: 5,497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.48 : 9,836.64 = 3,984 : x
  2. Step 2: Convert to fraction form
    7,128.48/9,836.64 = 3,984/x
  3. Step 3: Cross multiply
    7,128.48x = 9,836.64 × 3,984
  4. Step 4: Simplify right side
    7,128.48x = 39,189,173.76
  5. Step 5: Solve for x
    x = 39,189,173.76/7,128.48
  6. Step 6: Final answer
    x = 5,497.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.