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Finding the Fourth Proportional to 35,829, 49,441.68 and 19,912.86

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Solution

The fourth proportional to 35,829, 49,441.68 and 19,912.86 is: 27,478.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,829 : 49,441.68 = 19,912.86 : x
  2. Step 2: Convert to fraction form
    35,829/49,441.68 = 19,912.86/x
  3. Step 3: Cross multiply
    35,829x = 49,441.68 × 19,912.86
  4. Step 4: Simplify right side
    35,829x = 984,525,252.00
  5. Step 5: Solve for x
    x = 984,525,252.00/35,829
  6. Step 6: Final answer
    x = 27,478.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.