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Finding the Fourth Proportional to 35,086, 52,649.74 and 12,914.94

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Solution

The fourth proportional to 35,086, 52,649.74 and 12,914.94 is: 19,380.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,086 : 52,649.74 = 12,914.94 : x
  2. Step 2: Convert to fraction form
    35,086/52,649.74 = 12,914.94/x
  3. Step 3: Cross multiply
    35,086x = 52,649.74 × 12,914.94
  4. Step 4: Simplify right side
    35,086x = 679,968,233.12
  5. Step 5: Solve for x
    x = 679,968,233.12/35,086
  6. Step 6: Final answer
    x = 19,380.04

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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.