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Finding the Fourth Proportional to 7,771.84, 11,659.53 and 2,841.47

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Solution

The fourth proportional to 7,771.84, 11,659.53 and 2,841.47 is: 4,262.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.84 : 11,659.53 = 2,841.47 : x
  2. Step 2: Convert to fraction form
    7,771.84/11,659.53 = 2,841.47/x
  3. Step 3: Cross multiply
    7,771.84x = 11,659.53 × 2,841.47
  4. Step 4: Simplify right side
    7,771.84x = 33,130,204.71
  5. Step 5: Solve for x
    x = 33,130,204.71/7,771.84
  6. Step 6: Final answer
    x = 4,262.85

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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.