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Finding the Fourth Proportional to 30,597.57, 45,864.78 and 12,838.54

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Solution

The fourth proportional to 30,597.57, 45,864.78 and 12,838.54 is: 19,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,597.57 : 45,864.78 = 12,838.54 : x
  2. Step 2: Convert to fraction form
    30,597.57/45,864.78 = 12,838.54/x
  3. Step 3: Cross multiply
    30,597.57x = 45,864.78 × 12,838.54
  4. Step 4: Simplify right side
    30,597.57x = 588,836,748.43
  5. Step 5: Solve for x
    x = 588,836,748.43/30,597.57
  6. Step 6: Final answer
    x = 19,244.56

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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.