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Finding the Fourth Proportional to 30,266.40, 45,414.24 and 13,638.24

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Solution

The fourth proportional to 30,266.40, 45,414.24 and 13,638.24 is: 20,463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,266.40 : 45,414.24 = 13,638.24 : x
  2. Step 2: Convert to fraction form
    30,266.40/45,414.24 = 13,638.24/x
  3. Step 3: Cross multiply
    30,266.40x = 45,414.24 × 13,638.24
  4. Step 4: Simplify right side
    30,266.40x = 619,370,304.54
  5. Step 5: Solve for x
    x = 619,370,304.54/30,266.40
  6. Step 6: Final answer
    x = 20,463.96

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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.