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Finding the Fourth Proportional to 8,509.72, 11,742.78 and 4,783

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Solution

The fourth proportional to 8,509.72, 11,742.78 and 4,783 is: 6,600.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.72 : 11,742.78 = 4,783 : x
  2. Step 2: Convert to fraction form
    8,509.72/11,742.78 = 4,783/x
  3. Step 3: Cross multiply
    8,509.72x = 11,742.78 × 4,783
  4. Step 4: Simplify right side
    8,509.72x = 56,165,716.74
  5. Step 5: Solve for x
    x = 56,165,716.74/8,509.72
  6. Step 6: Final answer
    x = 6,600.18

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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.