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Finding the Fourth Proportional to 8,854.36, 13,283 and 3,309.64

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Solution

The fourth proportional to 8,854.36, 13,283 and 3,309.64 is: 4,965.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,854.36 : 13,283 = 3,309.64 : x
  2. Step 2: Convert to fraction form
    8,854.36/13,283 = 3,309.64/x
  3. Step 3: Cross multiply
    8,854.36x = 13,283 × 3,309.64
  4. Step 4: Simplify right side
    8,854.36x = 43,961,948.12
  5. Step 5: Solve for x
    x = 43,961,948.12/8,854.36
  6. Step 6: Final answer
    x = 4,965.01

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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.