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Finding the Fourth Proportional to 35,806.37, 53,709.54 and 12,432.80

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Solution

The fourth proportional to 35,806.37, 53,709.54 and 12,432.80 is: 18,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,806.37 : 53,709.54 = 12,432.80 : x
  2. Step 2: Convert to fraction form
    35,806.37/53,709.54 = 12,432.80/x
  3. Step 3: Cross multiply
    35,806.37x = 53,709.54 × 12,432.80
  4. Step 4: Simplify right side
    35,806.37x = 667,760,056.56
  5. Step 5: Solve for x
    x = 667,760,056.56/35,806.37
  6. Step 6: Final answer
    x = 18,649.20

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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.