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Finding the Fourth Proportional to 11,772.50, 16,247.49 and 6,804.50

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Solution

The fourth proportional to 11,772.50, 16,247.49 and 6,804.50 is: 9,391.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.50 : 16,247.49 = 6,804.50 : x
  2. Step 2: Convert to fraction form
    11,772.50/16,247.49 = 6,804.50/x
  3. Step 3: Cross multiply
    11,772.50x = 16,247.49 × 6,804.50
  4. Step 4: Simplify right side
    11,772.50x = 110,556,045.71
  5. Step 5: Solve for x
    x = 110,556,045.71/11,772.50
  6. Step 6: Final answer
    x = 9,391.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.