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Finding the Fourth Proportional to 8,317.78, 11,480 and 4,960.80

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Solution

The fourth proportional to 8,317.78, 11,480 and 4,960.80 is: 6,846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,317.78 : 11,480 = 4,960.80 : x
  2. Step 2: Convert to fraction form
    8,317.78/11,480 = 4,960.80/x
  3. Step 3: Cross multiply
    8,317.78x = 11,480 × 4,960.80
  4. Step 4: Simplify right side
    8,317.78x = 56,949,984
  5. Step 5: Solve for x
    x = 56,949,984/8,317.78
  6. Step 6: Final answer
    x = 6,846.78

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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.