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Finding the Fourth Proportional to 12,940.86, 17,867.23 and 9,910.63

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Solution

The fourth proportional to 12,940.86, 17,867.23 and 9,910.63 is: 13,683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940.86 : 17,867.23 = 9,910.63 : x
  2. Step 2: Convert to fraction form
    12,940.86/17,867.23 = 9,910.63/x
  3. Step 3: Cross multiply
    12,940.86x = 17,867.23 × 9,910.63
  4. Step 4: Simplify right side
    12,940.86x = 177,075,416.32
  5. Step 5: Solve for x
    x = 177,075,416.32/12,940.86
  6. Step 6: Final answer
    x = 13,683.44

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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.