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Finding the Fourth Proportional to 35,971.36, 53,978.72 and 28,601.44

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Solution

The fourth proportional to 35,971.36, 53,978.72 and 28,601.44 is: 42,919.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,971.36 : 53,978.72 = 28,601.44 : x
  2. Step 2: Convert to fraction form
    35,971.36/53,978.72 = 28,601.44/x
  3. Step 3: Cross multiply
    35,971.36x = 53,978.72 × 28,601.44
  4. Step 4: Simplify right side
    35,971.36x = 1,543,869,121.36
  5. Step 5: Solve for x
    x = 1,543,869,121.36/35,971.36
  6. Step 6: Final answer
    x = 42,919.40

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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.