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Finding the Fourth Proportional to 30,599.74, 45,868.03 and 12,840.71

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Solution

The fourth proportional to 30,599.74, 45,868.03 and 12,840.71 is: 19,247.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,599.74 : 45,868.03 = 12,840.71 : x
  2. Step 2: Convert to fraction form
    30,599.74/45,868.03 = 12,840.71/x
  3. Step 3: Cross multiply
    30,599.74x = 45,868.03 × 12,840.71
  4. Step 4: Simplify right side
    30,599.74x = 588,978,007.30
  5. Step 5: Solve for x
    x = 588,978,007.30/30,599.74
  6. Step 6: Final answer
    x = 19,247.81

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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.