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Finding the Fourth Proportional to 6,356.36, 8,771.76 and 3,561.86

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Solution

The fourth proportional to 6,356.36, 8,771.76 and 3,561.86 is: 4,915.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.36 : 8,771.76 = 3,561.86 : x
  2. Step 2: Convert to fraction form
    6,356.36/8,771.76 = 3,561.86/x
  3. Step 3: Cross multiply
    6,356.36x = 8,771.76 × 3,561.86
  4. Step 4: Simplify right side
    6,356.36x = 31,243,737.21
  5. Step 5: Solve for x
    x = 31,243,737.21/6,356.36
  6. Step 6: Final answer
    x = 4,915.35

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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.