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Finding the Fourth Proportional to 5,326.54, 7,986.76 and 1,814.78

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Solution

The fourth proportional to 5,326.54, 7,986.76 and 1,814.78 is: 2,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.54 : 7,986.76 = 1,814.78 : x
  2. Step 2: Convert to fraction form
    5,326.54/7,986.76 = 1,814.78/x
  3. Step 3: Cross multiply
    5,326.54x = 7,986.76 × 1,814.78
  4. Step 4: Simplify right side
    5,326.54x = 14,494,212.31
  5. Step 5: Solve for x
    x = 14,494,212.31/5,326.54
  6. Step 6: Final answer
    x = 2,721.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.