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Finding the Fourth Proportional to 30,287.80, 45,410.10 and 13,634.20

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Solution

The fourth proportional to 30,287.80, 45,410.10 and 13,634.20 is: 20,441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,287.80 : 45,410.10 = 13,634.20 : x
  2. Step 2: Convert to fraction form
    30,287.80/45,410.10 = 13,634.20/x
  3. Step 3: Cross multiply
    30,287.80x = 45,410.10 × 13,634.20
  4. Step 4: Simplify right side
    30,287.80x = 619,130,385.42
  5. Step 5: Solve for x
    x = 619,130,385.42/30,287.80
  6. Step 6: Final answer
    x = 20,441.58

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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.