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Finding the Fourth Proportional to 8,176.56, 11,284 and 4,640.10

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Solution

The fourth proportional to 8,176.56, 11,284 and 4,640.10 is: 6,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176.56 : 11,284 = 4,640.10 : x
  2. Step 2: Convert to fraction form
    8,176.56/11,284 = 4,640.10/x
  3. Step 3: Cross multiply
    8,176.56x = 11,284 × 4,640.10
  4. Step 4: Simplify right side
    8,176.56x = 52,358,888.40
  5. Step 5: Solve for x
    x = 52,358,888.40/8,176.56
  6. Step 6: Final answer
    x = 6,403.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.