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Finding the Fourth Proportional to 7,797.90, 11,700.90 and 3,415.80

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Solution

The fourth proportional to 7,797.90, 11,700.90 and 3,415.80 is: 5,125.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,797.90 : 11,700.90 = 3,415.80 : x
  2. Step 2: Convert to fraction form
    7,797.90/11,700.90 = 3,415.80/x
  3. Step 3: Cross multiply
    7,797.90x = 11,700.90 × 3,415.80
  4. Step 4: Simplify right side
    7,797.90x = 39,967,934.22
  5. Step 5: Solve for x
    x = 39,967,934.22/7,797.90
  6. Step 6: Final answer
    x = 5,125.47

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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.