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Finding the Fourth Proportional to 8,942.53, 13,420.88 and 4,728.77

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Solution

The fourth proportional to 8,942.53, 13,420.88 and 4,728.77 is: 7,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.53 : 13,420.88 = 4,728.77 : x
  2. Step 2: Convert to fraction form
    8,942.53/13,420.88 = 4,728.77/x
  3. Step 3: Cross multiply
    8,942.53x = 13,420.88 × 4,728.77
  4. Step 4: Simplify right side
    8,942.53x = 63,464,231.07
  5. Step 5: Solve for x
    x = 63,464,231.07/8,942.53
  6. Step 6: Final answer
    x = 7,096.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.