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Finding the Fourth Proportional to 12,897.99, 17,794.13 and 8,420.31

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Solution

The fourth proportional to 12,897.99, 17,794.13 and 8,420.31 is: 11,616.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,897.99 : 17,794.13 = 8,420.31 : x
  2. Step 2: Convert to fraction form
    12,897.99/17,794.13 = 8,420.31/x
  3. Step 3: Cross multiply
    12,897.99x = 17,794.13 × 8,420.31
  4. Step 4: Simplify right side
    12,897.99x = 149,832,048.68
  5. Step 5: Solve for x
    x = 149,832,048.68/12,897.99
  6. Step 6: Final answer
    x = 11,616.70

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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.