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Finding the Fourth Proportional to 35,405, 53,107.50 and 10,781

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Solution

The fourth proportional to 35,405, 53,107.50 and 10,781 is: 16,171.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,405 : 53,107.50 = 10,781 : x
  2. Step 2: Convert to fraction form
    35,405/53,107.50 = 10,781/x
  3. Step 3: Cross multiply
    35,405x = 53,107.50 × 10,781
  4. Step 4: Simplify right side
    35,405x = 572,551,957.50
  5. Step 5: Solve for x
    x = 572,551,957.50/35,405
  6. Step 6: Final answer
    x = 16,171.50

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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.