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Finding the Fourth Proportional to 5,291.49, 7,940.88 and 1,828.74

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Solution

The fourth proportional to 5,291.49, 7,940.88 and 1,828.74 is: 2,744.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.49 : 7,940.88 = 1,828.74 : x
  2. Step 2: Convert to fraction form
    5,291.49/7,940.88 = 1,828.74/x
  3. Step 3: Cross multiply
    5,291.49x = 7,940.88 × 1,828.74
  4. Step 4: Simplify right side
    5,291.49x = 14,521,804.89
  5. Step 5: Solve for x
    x = 14,521,804.89/5,291.49
  6. Step 6: Final answer
    x = 2,744.37

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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.