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Finding the Fourth Proportional to 35,685.26, 53,527.90 and 12,309.90

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Solution

The fourth proportional to 35,685.26, 53,527.90 and 12,309.90 is: 18,464.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,685.26 : 53,527.90 = 12,309.90 : x
  2. Step 2: Convert to fraction form
    35,685.26/53,527.90 = 12,309.90/x
  3. Step 3: Cross multiply
    35,685.26x = 53,527.90 × 12,309.90
  4. Step 4: Simplify right side
    35,685.26x = 658,923,096.21
  5. Step 5: Solve for x
    x = 658,923,096.21/35,685.26
  6. Step 6: Final answer
    x = 18,464.85

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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.