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Finding the Fourth Proportional to 7,800.10, 11,698.80 and 2,867.20

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Solution

The fourth proportional to 7,800.10, 11,698.80 and 2,867.20 is: 4,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800.10 : 11,698.80 = 2,867.20 : x
  2. Step 2: Convert to fraction form
    7,800.10/11,698.80 = 2,867.20/x
  3. Step 3: Cross multiply
    7,800.10x = 11,698.80 × 2,867.20
  4. Step 4: Simplify right side
    7,800.10x = 33,542,799.36
  5. Step 5: Solve for x
    x = 33,542,799.36/7,800.10
  6. Step 6: Final answer
    x = 4,300.30

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1.5x scale

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.