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Finding the Fourth Proportional to 28,384.50, 42,576.93 and 9,916.50

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Solution

The fourth proportional to 28,384.50, 42,576.93 and 9,916.50 is: 14,874.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,384.50 : 42,576.93 = 9,916.50 : x
  2. Step 2: Convert to fraction form
    28,384.50/42,576.93 = 9,916.50/x
  3. Step 3: Cross multiply
    28,384.50x = 42,576.93 × 9,916.50
  4. Step 4: Simplify right side
    28,384.50x = 422,214,126.35
  5. Step 5: Solve for x
    x = 422,214,126.35/28,384.50
  6. Step 6: Final answer
    x = 14,874.81

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Why These Related Problems?

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