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Finding the Fourth Proportional to 31,813.86, 47,720.82 and 9,626.76

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Solution

The fourth proportional to 31,813.86, 47,720.82 and 9,626.76 is: 14,440.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,813.86 : 47,720.82 = 9,626.76 : x
  2. Step 2: Convert to fraction form
    31,813.86/47,720.82 = 9,626.76/x
  3. Step 3: Cross multiply
    31,813.86x = 47,720.82 × 9,626.76
  4. Step 4: Simplify right side
    31,813.86x = 459,396,881.14
  5. Step 5: Solve for x
    x = 459,396,881.14/31,813.86
  6. Step 6: Final answer
    x = 14,440.15

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1.5x scale

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.