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Finding the Fourth Proportional to 31,368, 43,289.76 and 18,120

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Solution

The fourth proportional to 31,368, 43,289.76 and 18,120 is: 25,006.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,368 : 43,289.76 = 18,120 : x
  2. Step 2: Convert to fraction form
    31,368/43,289.76 = 18,120/x
  3. Step 3: Cross multiply
    31,368x = 43,289.76 × 18,120
  4. Step 4: Simplify right side
    31,368x = 784,410,451.20
  5. Step 5: Solve for x
    x = 784,410,451.20/31,368
  6. Step 6: Final answer
    x = 25,006.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.