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Finding the Fourth Proportional to 2,031.05, 3,046.51 and 860.30

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Solution

The fourth proportional to 2,031.05, 3,046.51 and 860.30 is: 1,290.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.05 : 3,046.51 = 860.30 : x
  2. Step 2: Convert to fraction form
    2,031.05/3,046.51 = 860.30/x
  3. Step 3: Cross multiply
    2,031.05x = 3,046.51 × 860.30
  4. Step 4: Simplify right side
    2,031.05x = 2,620,905.76
  5. Step 5: Solve for x
    x = 2,620,905.76/2,031.05
  6. Step 6: Final answer
    x = 1,290.42

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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.