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Finding the Fourth Proportional to 8,645.94, 12,970.98 and 3,022.83

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Solution

The fourth proportional to 8,645.94, 12,970.98 and 3,022.83 is: 4,534.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.94 : 12,970.98 = 3,022.83 : x
  2. Step 2: Convert to fraction form
    8,645.94/12,970.98 = 3,022.83/x
  3. Step 3: Cross multiply
    8,645.94x = 12,970.98 × 3,022.83
  4. Step 4: Simplify right side
    8,645.94x = 39,209,067.47
  5. Step 5: Solve for x
    x = 39,209,067.47/8,645.94
  6. Step 6: Final answer
    x = 4,534.97

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1.5x scale

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.