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Finding the Fourth Proportional to 7,798.54, 11,698.97 and 2,867.80

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Solution

The fourth proportional to 7,798.54, 11,698.97 and 2,867.80 is: 4,302.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.54 : 11,698.97 = 2,867.80 : x
  2. Step 2: Convert to fraction form
    7,798.54/11,698.97 = 2,867.80/x
  3. Step 3: Cross multiply
    7,798.54x = 11,698.97 × 2,867.80
  4. Step 4: Simplify right side
    7,798.54x = 33,550,306.17
  5. Step 5: Solve for x
    x = 33,550,306.17/7,798.54
  6. Step 6: Final answer
    x = 4,302.13

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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.