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Finding the Fourth Proportional to 3,087.08, 4,630.45 and 866.06

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Solution

The fourth proportional to 3,087.08, 4,630.45 and 866.06 is: 1,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087.08 : 4,630.45 = 866.06 : x
  2. Step 2: Convert to fraction form
    3,087.08/4,630.45 = 866.06/x
  3. Step 3: Cross multiply
    3,087.08x = 4,630.45 × 866.06
  4. Step 4: Simplify right side
    3,087.08x = 4,010,255.03
  5. Step 5: Solve for x
    x = 4,010,255.03/3,087.08
  6. Step 6: Final answer
    x = 1,299.05

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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.