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Finding the Fourth Proportional to 8,533.89, 11,777.13 and 5,176.71

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Solution

The fourth proportional to 8,533.89, 11,777.13 and 5,176.71 is: 7,144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533.89 : 11,777.13 = 5,176.71 : x
  2. Step 2: Convert to fraction form
    8,533.89/11,777.13 = 5,176.71/x
  3. Step 3: Cross multiply
    8,533.89x = 11,777.13 × 5,176.71
  4. Step 4: Simplify right side
    8,533.89x = 60,966,786.64
  5. Step 5: Solve for x
    x = 60,966,786.64/8,533.89
  6. Step 6: Final answer
    x = 7,144.08

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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.