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Finding the Fourth Proportional to 35,972.64, 53,963.64 and 13,490.64

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Solution

The fourth proportional to 35,972.64, 53,963.64 and 13,490.64 is: 20,237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,972.64 : 53,963.64 = 13,490.64 : x
  2. Step 2: Convert to fraction form
    35,972.64/53,963.64 = 13,490.64/x
  3. Step 3: Cross multiply
    35,972.64x = 53,963.64 × 13,490.64
  4. Step 4: Simplify right side
    35,972.64x = 728,004,040.33
  5. Step 5: Solve for x
    x = 728,004,040.33/35,972.64
  6. Step 6: Final answer
    x = 20,237.72

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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.