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Finding the Fourth Proportional to 19,687.20, 29,530.80 and 13,782.30

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Solution

The fourth proportional to 19,687.20, 29,530.80 and 13,782.30 is: 20,673.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,687.20 : 29,530.80 = 13,782.30 : x
  2. Step 2: Convert to fraction form
    19,687.20/29,530.80 = 13,782.30/x
  3. Step 3: Cross multiply
    19,687.20x = 29,530.80 × 13,782.30
  4. Step 4: Simplify right side
    19,687.20x = 407,002,344.84
  5. Step 5: Solve for x
    x = 407,002,344.84/19,687.20
  6. Step 6: Final answer
    x = 20,673.45

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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.