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Finding the Fourth Proportional to 3,175, 4,762.80 and 866.50

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Solution

The fourth proportional to 3,175, 4,762.80 and 866.50 is: 1,299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,175 : 4,762.80 = 866.50 : x
  2. Step 2: Convert to fraction form
    3,175/4,762.80 = 866.50/x
  3. Step 3: Cross multiply
    3,175x = 4,762.80 × 866.50
  4. Step 4: Simplify right side
    3,175x = 4,126,966.20
  5. Step 5: Solve for x
    x = 4,126,966.20/3,175
  6. Step 6: Final answer
    x = 1,299.83

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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.