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Finding the Fourth Proportional to 7,103.60, 9,802.78 and 4,078.64

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Solution

The fourth proportional to 7,103.60, 9,802.78 and 4,078.64 is: 5,628.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.60 : 9,802.78 = 4,078.64 : x
  2. Step 2: Convert to fraction form
    7,103.60/9,802.78 = 4,078.64/x
  3. Step 3: Cross multiply
    7,103.60x = 9,802.78 × 4,078.64
  4. Step 4: Simplify right side
    7,103.60x = 39,982,010.62
  5. Step 5: Solve for x
    x = 39,982,010.62/7,103.60
  6. Step 6: Final answer
    x = 5,628.42

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1.5x scale

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.