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Finding the Fourth Proportional to 3,175.16, 4,762.74 and 866.66

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Solution

The fourth proportional to 3,175.16, 4,762.74 and 866.66 is: 1,299.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175.16 : 4,762.74 = 866.66 : x
  2. Step 2: Convert to fraction form
    3,175.16/4,762.74 = 866.66/x
  3. Step 3: Cross multiply
    3,175.16x = 4,762.74 × 866.66
  4. Step 4: Simplify right side
    3,175.16x = 4,127,676.25
  5. Step 5: Solve for x
    x = 4,127,676.25/3,175.16
  6. Step 6: Final answer
    x = 1,299.99

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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.