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Finding the Fourth Proportional to 22,851.36, 31,533.36 and 12,779

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Solution

The fourth proportional to 22,851.36, 31,533.36 and 12,779 is: 17,634.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,851.36 : 31,533.36 = 12,779 : x
  2. Step 2: Convert to fraction form
    22,851.36/31,533.36 = 12,779/x
  3. Step 3: Cross multiply
    22,851.36x = 31,533.36 × 12,779
  4. Step 4: Simplify right side
    22,851.36x = 402,964,807.44
  5. Step 5: Solve for x
    x = 402,964,807.44/22,851.36
  6. Step 6: Final answer
    x = 17,634.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.