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Finding the Fourth Proportional to 31,781.63, 47,672.07 and 7,766.13

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Solution

The fourth proportional to 31,781.63, 47,672.07 and 7,766.13 is: 11,649.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,781.63 : 47,672.07 = 7,766.13 : x
  2. Step 2: Convert to fraction form
    31,781.63/47,672.07 = 7,766.13/x
  3. Step 3: Cross multiply
    31,781.63x = 47,672.07 × 7,766.13
  4. Step 4: Simplify right side
    31,781.63x = 370,227,492.99
  5. Step 5: Solve for x
    x = 370,227,492.99/31,781.63
  6. Step 6: Final answer
    x = 11,649.11

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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.