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Finding the Fourth Proportional to 2,561.09, 3,841.21 and 712.40

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Solution

The fourth proportional to 2,561.09, 3,841.21 and 712.40 is: 1,068.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.09 : 3,841.21 = 712.40 : x
  2. Step 2: Convert to fraction form
    2,561.09/3,841.21 = 712.40/x
  3. Step 3: Cross multiply
    2,561.09x = 3,841.21 × 712.40
  4. Step 4: Simplify right side
    2,561.09x = 2,736,461.69
  5. Step 5: Solve for x
    x = 2,736,461.69/2,561.09
  6. Step 6: Final answer
    x = 1,068.47

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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.