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Finding the Fourth Proportional to 5,491.79, 7,579.82 and 5,048.99

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Solution

The fourth proportional to 5,491.79, 7,579.82 and 5,048.99 is: 6,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,491.79 : 7,579.82 = 5,048.99 : x
  2. Step 2: Convert to fraction form
    5,491.79/7,579.82 = 5,048.99/x
  3. Step 3: Cross multiply
    5,491.79x = 7,579.82 × 5,048.99
  4. Step 4: Simplify right side
    5,491.79x = 38,270,435.38
  5. Step 5: Solve for x
    x = 38,270,435.38/5,491.79
  6. Step 6: Final answer
    x = 6,968.66

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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.