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Finding the Fourth Proportional to 8,643.58, 12,965.81 and 4,205.32

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Solution

The fourth proportional to 8,643.58, 12,965.81 and 4,205.32 is: 6,308.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.58 : 12,965.81 = 4,205.32 : x
  2. Step 2: Convert to fraction form
    8,643.58/12,965.81 = 4,205.32/x
  3. Step 3: Cross multiply
    8,643.58x = 12,965.81 × 4,205.32
  4. Step 4: Simplify right side
    8,643.58x = 54,525,326.67
  5. Step 5: Solve for x
    x = 54,525,326.67/8,643.58
  6. Step 6: Final answer
    x = 6,308.19

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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.