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Finding the Fourth Proportional to 12,643.76, 18,965.64 and 4,323.85

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Solution

The fourth proportional to 12,643.76, 18,965.64 and 4,323.85 is: 6,485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.76 : 18,965.64 = 4,323.85 : x
  2. Step 2: Convert to fraction form
    12,643.76/18,965.64 = 4,323.85/x
  3. Step 3: Cross multiply
    12,643.76x = 18,965.64 × 4,323.85
  4. Step 4: Simplify right side
    12,643.76x = 82,004,582.51
  5. Step 5: Solve for x
    x = 82,004,582.51/12,643.76
  6. Step 6: Final answer
    x = 6,485.78

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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.