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Finding the Fourth Proportional to 31,880.36, 47,820.38 and 8,187.88

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Solution

The fourth proportional to 31,880.36, 47,820.38 and 8,187.88 is: 12,281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,880.36 : 47,820.38 = 8,187.88 : x
  2. Step 2: Convert to fraction form
    31,880.36/47,820.38 = 8,187.88/x
  3. Step 3: Cross multiply
    31,880.36x = 47,820.38 × 8,187.88
  4. Step 4: Simplify right side
    31,880.36x = 391,547,532.99
  5. Step 5: Solve for x
    x = 391,547,532.99/31,880.36
  6. Step 6: Final answer
    x = 12,281.78

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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.