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Finding the Fourth Proportional to 7,775.51, 11,659.49 and 2,841.80

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Solution

The fourth proportional to 7,775.51, 11,659.49 and 2,841.80 is: 4,261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.51 : 11,659.49 = 2,841.80 : x
  2. Step 2: Convert to fraction form
    7,775.51/11,659.49 = 2,841.80/x
  3. Step 3: Cross multiply
    7,775.51x = 11,659.49 × 2,841.80
  4. Step 4: Simplify right side
    7,775.51x = 33,133,924.47
  5. Step 5: Solve for x
    x = 33,133,924.47/7,775.51
  6. Step 6: Final answer
    x = 4,261.32

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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.