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Finding the Fourth Proportional to 12,635.84, 18,965.46 and 6,400.28

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Solution

The fourth proportional to 12,635.84, 18,965.46 and 6,400.28 is: 9,606.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.84 : 18,965.46 = 6,400.28 : x
  2. Step 2: Convert to fraction form
    12,635.84/18,965.46 = 6,400.28/x
  3. Step 3: Cross multiply
    12,635.84x = 18,965.46 × 6,400.28
  4. Step 4: Simplify right side
    12,635.84x = 121,384,254.33
  5. Step 5: Solve for x
    x = 121,384,254.33/12,635.84
  6. Step 6: Final answer
    x = 9,606.35

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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.