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Finding the Fourth Proportional to 16,283.84, 24,387.78 and 11,890.40

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Solution

The fourth proportional to 16,283.84, 24,387.78 and 11,890.40 is: 17,807.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.84 : 24,387.78 = 11,890.40 : x
  2. Step 2: Convert to fraction form
    16,283.84/24,387.78 = 11,890.40/x
  3. Step 3: Cross multiply
    16,283.84x = 24,387.78 × 11,890.40
  4. Step 4: Simplify right side
    16,283.84x = 289,980,459.31
  5. Step 5: Solve for x
    x = 289,980,459.31/16,283.84
  6. Step 6: Final answer
    x = 17,807.87

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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.