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Finding the Fourth Proportional to 15,783.84, 23,679 and 5,923.08

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Solution

The fourth proportional to 15,783.84, 23,679 and 5,923.08 is: 8,885.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,783.84 : 23,679 = 5,923.08 : x
  2. Step 2: Convert to fraction form
    15,783.84/23,679 = 5,923.08/x
  3. Step 3: Cross multiply
    15,783.84x = 23,679 × 5,923.08
  4. Step 4: Simplify right side
    15,783.84x = 140,252,611.32
  5. Step 5: Solve for x
    x = 140,252,611.32/15,783.84
  6. Step 6: Final answer
    x = 8,885.84

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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.