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Finding the Fourth Proportional to 7,112.80, 9,819.24 and 4,878.80

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Solution

The fourth proportional to 7,112.80, 9,819.24 and 4,878.80 is: 6,735.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.80 : 9,819.24 = 4,878.80 : x
  2. Step 2: Convert to fraction form
    7,112.80/9,819.24 = 4,878.80/x
  3. Step 3: Cross multiply
    7,112.80x = 9,819.24 × 4,878.80
  4. Step 4: Simplify right side
    7,112.80x = 47,906,108.11
  5. Step 5: Solve for x
    x = 47,906,108.11/7,112.80
  6. Step 6: Final answer
    x = 6,735.20

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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.