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Finding the Fourth Proportional to 23,978.77, 35,978.51 and 12,872.48

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Solution

The fourth proportional to 23,978.77, 35,978.51 and 12,872.48 is: 19,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,978.77 : 35,978.51 = 12,872.48 : x
  2. Step 2: Convert to fraction form
    23,978.77/35,978.51 = 12,872.48/x
  3. Step 3: Cross multiply
    23,978.77x = 35,978.51 × 12,872.48
  4. Step 4: Simplify right side
    23,978.77x = 463,132,772.53
  5. Step 5: Solve for x
    x = 463,132,772.53/23,978.77
  6. Step 6: Final answer
    x = 19,314.29

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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.