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Finding the Fourth Proportional to 39,766, 59,649.36 and 12,064

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Solution

The fourth proportional to 39,766, 59,649.36 and 12,064 is: 18,096.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,766 : 59,649.36 = 12,064 : x
  2. Step 2: Convert to fraction form
    39,766/59,649.36 = 12,064/x
  3. Step 3: Cross multiply
    39,766x = 59,649.36 × 12,064
  4. Step 4: Simplify right side
    39,766x = 719,609,879.04
  5. Step 5: Solve for x
    x = 719,609,879.04/39,766
  6. Step 6: Final answer
    x = 18,096.11

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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.