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Finding the Fourth Proportional to 9,176.75, 12,664.19 and 4,985.27

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Solution

The fourth proportional to 9,176.75, 12,664.19 and 4,985.27 is: 6,879.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.75 : 12,664.19 = 4,985.27 : x
  2. Step 2: Convert to fraction form
    9,176.75/12,664.19 = 4,985.27/x
  3. Step 3: Cross multiply
    9,176.75x = 12,664.19 × 4,985.27
  4. Step 4: Simplify right side
    9,176.75x = 63,134,406.48
  5. Step 5: Solve for x
    x = 63,134,406.48/9,176.75
  6. Step 6: Final answer
    x = 6,879.82

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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.