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Finding the Fourth Proportional to 30,634.32, 45,919.48 and 20,774.20

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Solution

The fourth proportional to 30,634.32, 45,919.48 and 20,774.20 is: 31,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,634.32 : 45,919.48 = 20,774.20 : x
  2. Step 2: Convert to fraction form
    30,634.32/45,919.48 = 20,774.20/x
  3. Step 3: Cross multiply
    30,634.32x = 45,919.48 × 20,774.20
  4. Step 4: Simplify right side
    30,634.32x = 953,940,461.42
  5. Step 5: Solve for x
    x = 953,940,461.42/30,634.32
  6. Step 6: Final answer
    x = 31,139.60

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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.