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Finding the Fourth Proportional to 30,359.80, 45,515.40 and 12,815.20

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Solution

The fourth proportional to 30,359.80, 45,515.40 and 12,815.20 is: 19,212.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,359.80 : 45,515.40 = 12,815.20 : x
  2. Step 2: Convert to fraction form
    30,359.80/45,515.40 = 12,815.20/x
  3. Step 3: Cross multiply
    30,359.80x = 45,515.40 × 12,815.20
  4. Step 4: Simplify right side
    30,359.80x = 583,288,954.08
  5. Step 5: Solve for x
    x = 583,288,954.08/30,359.80
  6. Step 6: Final answer
    x = 19,212.54

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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.