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Finding the Fourth Proportional to 30,649.84, 45,932.24 and 13,969.12

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Solution

The fourth proportional to 30,649.84, 45,932.24 and 13,969.12 is: 20,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649.84 : 45,932.24 = 13,969.12 : x
  2. Step 2: Convert to fraction form
    30,649.84/45,932.24 = 13,969.12/x
  3. Step 3: Cross multiply
    30,649.84x = 45,932.24 × 13,969.12
  4. Step 4: Simplify right side
    30,649.84x = 641,632,972.43
  5. Step 5: Solve for x
    x = 641,632,972.43/30,649.84
  6. Step 6: Final answer
    x = 20,934.30

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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.