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Finding the Fourth Proportional to 13,297.80, 19,946.70 and 5,400.30

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Solution

The fourth proportional to 13,297.80, 19,946.70 and 5,400.30 is: 8,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,297.80 : 19,946.70 = 5,400.30 : x
  2. Step 2: Convert to fraction form
    13,297.80/19,946.70 = 5,400.30/x
  3. Step 3: Cross multiply
    13,297.80x = 19,946.70 × 5,400.30
  4. Step 4: Simplify right side
    13,297.80x = 107,718,164.01
  5. Step 5: Solve for x
    x = 107,718,164.01/13,297.80
  6. Step 6: Final answer
    x = 8,100.45

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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.