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Finding the Fourth Proportional to 2,031.88, 3,045.62 and 861.62

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Solution

The fourth proportional to 2,031.88, 3,045.62 and 861.62 is: 1,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.88 : 3,045.62 = 861.62 : x
  2. Step 2: Convert to fraction form
    2,031.88/3,045.62 = 861.62/x
  3. Step 3: Cross multiply
    2,031.88x = 3,045.62 × 861.62
  4. Step 4: Simplify right side
    2,031.88x = 2,624,167.10
  5. Step 5: Solve for x
    x = 2,624,167.10/2,031.88
  6. Step 6: Final answer
    x = 1,291.50

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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.