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Finding the Fourth Proportional to 6,489.09, 8,942.45 and 4,717.89

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Solution

The fourth proportional to 6,489.09, 8,942.45 and 4,717.89 is: 6,501.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.09 : 8,942.45 = 4,717.89 : x
  2. Step 2: Convert to fraction form
    6,489.09/8,942.45 = 4,717.89/x
  3. Step 3: Cross multiply
    6,489.09x = 8,942.45 × 4,717.89
  4. Step 4: Simplify right side
    6,489.09x = 42,189,495.43
  5. Step 5: Solve for x
    x = 42,189,495.43/6,489.09
  6. Step 6: Final answer
    x = 6,501.60

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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.