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Finding the Fourth Proportional to 30,649.80, 45,974.70 and 13,121.40

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Solution

The fourth proportional to 30,649.80, 45,974.70 and 13,121.40 is: 19,682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,649.80 : 45,974.70 = 13,121.40 : x
  2. Step 2: Convert to fraction form
    30,649.80/45,974.70 = 13,121.40/x
  3. Step 3: Cross multiply
    30,649.80x = 45,974.70 × 13,121.40
  4. Step 4: Simplify right side
    30,649.80x = 603,252,428.58
  5. Step 5: Solve for x
    x = 603,252,428.58/30,649.80
  6. Step 6: Final answer
    x = 19,682.10

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Similar ratio
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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.