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Finding the Fourth Proportional to 30,609.65, 45,932.21 and 12,838.73

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Solution

The fourth proportional to 30,609.65, 45,932.21 and 12,838.73 is: 19,265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,609.65 : 45,932.21 = 12,838.73 : x
  2. Step 2: Convert to fraction form
    30,609.65/45,932.21 = 12,838.73/x
  3. Step 3: Cross multiply
    30,609.65x = 45,932.21 × 12,838.73
  4. Step 4: Simplify right side
    30,609.65x = 589,711,178.30
  5. Step 5: Solve for x
    x = 589,711,178.30/30,609.65
  6. Step 6: Final answer
    x = 19,265.53

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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.