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Finding the Fourth Proportional to 31,851.81, 47,778.30 and 8,478

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Solution

The fourth proportional to 31,851.81, 47,778.30 and 8,478 is: 12,717.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,851.81 : 47,778.30 = 8,478 : x
  2. Step 2: Convert to fraction form
    31,851.81/47,778.30 = 8,478/x
  3. Step 3: Cross multiply
    31,851.81x = 47,778.30 × 8,478
  4. Step 4: Simplify right side
    31,851.81x = 405,064,427.40
  5. Step 5: Solve for x
    x = 405,064,427.40/31,851.81
  6. Step 6: Final answer
    x = 12,717.16

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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.