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Finding the Fourth Proportional to 7,128, 9,836.64 and 3,984.20

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Solution

The fourth proportional to 7,128, 9,836.64 and 3,984.20 is: 5,498.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128 : 9,836.64 = 3,984.20 : x
  2. Step 2: Convert to fraction form
    7,128/9,836.64 = 3,984.20/x
  3. Step 3: Cross multiply
    7,128x = 9,836.64 × 3,984.20
  4. Step 4: Simplify right side
    7,128x = 39,191,141.09
  5. Step 5: Solve for x
    x = 39,191,141.09/7,128
  6. Step 6: Final answer
    x = 5,498.20

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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.