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Finding the Fourth Proportional to 8,426.65, 11,631.09 and 4,891

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Solution

The fourth proportional to 8,426.65, 11,631.09 and 4,891 is: 6,750.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,426.65 : 11,631.09 = 4,891 : x
  2. Step 2: Convert to fraction form
    8,426.65/11,631.09 = 4,891/x
  3. Step 3: Cross multiply
    8,426.65x = 11,631.09 × 4,891
  4. Step 4: Simplify right side
    8,426.65x = 56,887,661.19
  5. Step 5: Solve for x
    x = 56,887,661.19/8,426.65
  6. Step 6: Final answer
    x = 6,750.92

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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.