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Finding the Fourth Proportional to 22,701.18, 31,327.65 and 12,765.18

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Solution

The fourth proportional to 22,701.18, 31,327.65 and 12,765.18 is: 17,615.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,701.18 : 31,327.65 = 12,765.18 : x
  2. Step 2: Convert to fraction form
    22,701.18/31,327.65 = 12,765.18/x
  3. Step 3: Cross multiply
    22,701.18x = 31,327.65 × 12,765.18
  4. Step 4: Simplify right side
    22,701.18x = 399,903,091.23
  5. Step 5: Solve for x
    x = 399,903,091.23/22,701.18
  6. Step 6: Final answer
    x = 17,615.96

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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.