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Finding the Fourth Proportional to 31,678, 47,483.70 and 10,612.84

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Solution

The fourth proportional to 31,678, 47,483.70 and 10,612.84 is: 15,908.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,678 : 47,483.70 = 10,612.84 : x
  2. Step 2: Convert to fraction form
    31,678/47,483.70 = 10,612.84/x
  3. Step 3: Cross multiply
    31,678x = 47,483.70 × 10,612.84
  4. Step 4: Simplify right side
    31,678x = 503,936,910.71
  5. Step 5: Solve for x
    x = 503,936,910.71/31,678
  6. Step 6: Final answer
    x = 15,908.10

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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.