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Finding the Fourth Proportional to 2,087.54, 3,130.97 and 771.91

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Solution

The fourth proportional to 2,087.54, 3,130.97 and 771.91 is: 1,157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.54 : 3,130.97 = 771.91 : x
  2. Step 2: Convert to fraction form
    2,087.54/3,130.97 = 771.91/x
  3. Step 3: Cross multiply
    2,087.54x = 3,130.97 × 771.91
  4. Step 4: Simplify right side
    2,087.54x = 2,416,827.46
  5. Step 5: Solve for x
    x = 2,416,827.46/2,087.54
  6. Step 6: Final answer
    x = 1,157.74

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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.