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Finding the Fourth Proportional to 2,087.07, 3,129.62 and 770.39

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Solution

The fourth proportional to 2,087.07, 3,129.62 and 770.39 is: 1,155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.07 : 3,129.62 = 770.39 : x
  2. Step 2: Convert to fraction form
    2,087.07/3,129.62 = 770.39/x
  3. Step 3: Cross multiply
    2,087.07x = 3,129.62 × 770.39
  4. Step 4: Simplify right side
    2,087.07x = 2,411,031.92
  5. Step 5: Solve for x
    x = 2,411,031.92/2,087.07
  6. Step 6: Final answer
    x = 1,155.22

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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.