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Finding the Fourth Proportional to 35,419, 53,128.52 and 10,795

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Solution

The fourth proportional to 35,419, 53,128.52 and 10,795 is: 16,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,419 : 53,128.52 = 10,795 : x
  2. Step 2: Convert to fraction form
    35,419/53,128.52 = 10,795/x
  3. Step 3: Cross multiply
    35,419x = 53,128.52 × 10,795
  4. Step 4: Simplify right side
    35,419x = 573,522,373.40
  5. Step 5: Solve for x
    x = 573,522,373.40/35,419
  6. Step 6: Final answer
    x = 16,192.51

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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.