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Finding the Fourth Proportional to 30,363, 45,551.22 and 12,847.80

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Solution

The fourth proportional to 30,363, 45,551.22 and 12,847.80 is: 19,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,363 : 45,551.22 = 12,847.80 : x
  2. Step 2: Convert to fraction form
    30,363/45,551.22 = 12,847.80/x
  3. Step 3: Cross multiply
    30,363x = 45,551.22 × 12,847.80
  4. Step 4: Simplify right side
    30,363x = 585,232,964.32
  5. Step 5: Solve for x
    x = 585,232,964.32/30,363
  6. Step 6: Final answer
    x = 19,274.54

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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.