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Finding the Fourth Proportional to 8,509.50, 11,743.11 and 4,783.50

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Solution

The fourth proportional to 8,509.50, 11,743.11 and 4,783.50 is: 6,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.50 : 11,743.11 = 4,783.50 : x
  2. Step 2: Convert to fraction form
    8,509.50/11,743.11 = 4,783.50/x
  3. Step 3: Cross multiply
    8,509.50x = 11,743.11 × 4,783.50
  4. Step 4: Simplify right side
    8,509.50x = 56,173,166.69
  5. Step 5: Solve for x
    x = 56,173,166.69/8,509.50
  6. Step 6: Final answer
    x = 6,601.23

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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.