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Finding the Fourth Proportional to 12,811.60, 17,677.74 and 7,222.60

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Solution

The fourth proportional to 12,811.60, 17,677.74 and 7,222.60 is: 9,965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.60 : 17,677.74 = 7,222.60 : x
  2. Step 2: Convert to fraction form
    12,811.60/17,677.74 = 7,222.60/x
  3. Step 3: Cross multiply
    12,811.60x = 17,677.74 × 7,222.60
  4. Step 4: Simplify right side
    12,811.60x = 127,679,244.92
  5. Step 5: Solve for x
    x = 127,679,244.92/12,811.60
  6. Step 6: Final answer
    x = 9,965.91

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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.