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Finding the Fourth Proportional to 3,206.64, 4,810.29 and 866.66

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Solution

The fourth proportional to 3,206.64, 4,810.29 and 866.66 is: 1,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.64 : 4,810.29 = 866.66 : x
  2. Step 2: Convert to fraction form
    3,206.64/4,810.29 = 866.66/x
  3. Step 3: Cross multiply
    3,206.64x = 4,810.29 × 866.66
  4. Step 4: Simplify right side
    3,206.64x = 4,168,873.91
  5. Step 5: Solve for x
    x = 4,168,873.91/3,206.64
  6. Step 6: Final answer
    x = 1,300.08

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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.