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Finding the Fourth Proportional to 31,894.74, 47,849 and 9,709.86

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Solution

The fourth proportional to 31,894.74, 47,849 and 9,709.86 is: 14,566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,894.74 : 47,849 = 9,709.86 : x
  2. Step 2: Convert to fraction form
    31,894.74/47,849 = 9,709.86/x
  3. Step 3: Cross multiply
    31,894.74x = 47,849 × 9,709.86
  4. Step 4: Simplify right side
    31,894.74x = 464,607,091.14
  5. Step 5: Solve for x
    x = 464,607,091.14/31,894.74
  6. Step 6: Final answer
    x = 14,566.89

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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.