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Finding the Fourth Proportional to 8,354.94, 11,529.66 and 4,578

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Solution

The fourth proportional to 8,354.94, 11,529.66 and 4,578 is: 6,317.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.94 : 11,529.66 = 4,578 : x
  2. Step 2: Convert to fraction form
    8,354.94/11,529.66 = 4,578/x
  3. Step 3: Cross multiply
    8,354.94x = 11,529.66 × 4,578
  4. Step 4: Simplify right side
    8,354.94x = 52,782,783.48
  5. Step 5: Solve for x
    x = 52,782,783.48/8,354.94
  6. Step 6: Final answer
    x = 6,317.55

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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.