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Finding the Fourth Proportional to 22,958.40, 31,685.52 and 13,527.84

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Solution

The fourth proportional to 22,958.40, 31,685.52 and 13,527.84 is: 18,670.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,958.40 : 31,685.52 = 13,527.84 : x
  2. Step 2: Convert to fraction form
    22,958.40/31,685.52 = 13,527.84/x
  3. Step 3: Cross multiply
    22,958.40x = 31,685.52 × 13,527.84
  4. Step 4: Simplify right side
    22,958.40x = 428,636,644.88
  5. Step 5: Solve for x
    x = 428,636,644.88/22,958.40
  6. Step 6: Final answer
    x = 18,670.14

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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.