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Finding the Fourth Proportional to 11,280.64, 16,920.32 and 3,072

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Solution

The fourth proportional to 11,280.64, 16,920.32 and 3,072 is: 4,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280.64 : 16,920.32 = 3,072 : x
  2. Step 2: Convert to fraction form
    11,280.64/16,920.32 = 3,072/x
  3. Step 3: Cross multiply
    11,280.64x = 16,920.32 × 3,072
  4. Step 4: Simplify right side
    11,280.64x = 51,979,223.04
  5. Step 5: Solve for x
    x = 51,979,223.04/11,280.64
  6. Step 6: Final answer
    x = 4,607.83

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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.