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Finding the Fourth Proportional to 12,722.88, 18,946.24 and 12,395.20

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Solution

The fourth proportional to 12,722.88, 18,946.24 and 12,395.20 is: 18,458.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,722.88 : 18,946.24 = 12,395.20 : x
  2. Step 2: Convert to fraction form
    12,722.88/18,946.24 = 12,395.20/x
  3. Step 3: Cross multiply
    12,722.88x = 18,946.24 × 12,395.20
  4. Step 4: Simplify right side
    12,722.88x = 234,842,434.05
  5. Step 5: Solve for x
    x = 234,842,434.05/12,722.88
  6. Step 6: Final answer
    x = 18,458.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.