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Finding the Fourth Proportional to 12,893.72, 17,794.80 and 7,229.98

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Solution

The fourth proportional to 12,893.72, 17,794.80 and 7,229.98 is: 9,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,893.72 : 17,794.80 = 7,229.98 : x
  2. Step 2: Convert to fraction form
    12,893.72/17,794.80 = 7,229.98/x
  3. Step 3: Cross multiply
    12,893.72x = 17,794.80 × 7,229.98
  4. Step 4: Simplify right side
    12,893.72x = 128,656,048.10
  5. Step 5: Solve for x
    x = 128,656,048.10/12,893.72
  6. Step 6: Final answer
    x = 9,978.19

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1.5x scale

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.