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Finding the Fourth Proportional to 15,923.40, 23,885.82 and 5,393.12

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Solution

The fourth proportional to 15,923.40, 23,885.82 and 5,393.12 is: 8,089.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,923.40 : 23,885.82 = 5,393.12 : x
  2. Step 2: Convert to fraction form
    15,923.40/23,885.82 = 5,393.12/x
  3. Step 3: Cross multiply
    15,923.40x = 23,885.82 × 5,393.12
  4. Step 4: Simplify right side
    15,923.40x = 128,819,093.56
  5. Step 5: Solve for x
    x = 128,819,093.56/15,923.40
  6. Step 6: Final answer
    x = 8,089.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.