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Finding the Fourth Proportional to 31,813.85, 47,721.38 and 9,627.14

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Solution

The fourth proportional to 31,813.85, 47,721.38 and 9,627.14 is: 14,440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,813.85 : 47,721.38 = 9,627.14 : x
  2. Step 2: Convert to fraction form
    31,813.85/47,721.38 = 9,627.14/x
  3. Step 3: Cross multiply
    31,813.85x = 47,721.38 × 9,627.14
  4. Step 4: Simplify right side
    31,813.85x = 459,420,119.51
  5. Step 5: Solve for x
    x = 459,420,119.51/31,813.85
  6. Step 6: Final answer
    x = 14,440.89

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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.