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Finding the Fourth Proportional to 35,611.38, 53,379.40 and 13,415.16

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Solution

The fourth proportional to 35,611.38, 53,379.40 and 13,415.16 is: 20,108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,611.38 : 53,379.40 = 13,415.16 : x
  2. Step 2: Convert to fraction form
    35,611.38/53,379.40 = 13,415.16/x
  3. Step 3: Cross multiply
    35,611.38x = 53,379.40 × 13,415.16
  4. Step 4: Simplify right side
    35,611.38x = 716,093,191.70
  5. Step 5: Solve for x
    x = 716,093,191.70/35,611.38
  6. Step 6: Final answer
    x = 20,108.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.