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Finding the Fourth Proportional to 22,765.67, 31,416.75 and 12,694.74

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Solution

The fourth proportional to 22,765.67, 31,416.75 and 12,694.74 is: 17,518.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765.67 : 31,416.75 = 12,694.74 : x
  2. Step 2: Convert to fraction form
    22,765.67/31,416.75 = 12,694.74/x
  3. Step 3: Cross multiply
    22,765.67x = 31,416.75 × 12,694.74
  4. Step 4: Simplify right side
    22,765.67x = 398,827,472.90
  5. Step 5: Solve for x
    x = 398,827,472.90/22,765.67
  6. Step 6: Final answer
    x = 17,518.81

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