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Finding the Fourth Proportional to 3,347.71, 5,015.03 and 1,590.21

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Solution

The fourth proportional to 3,347.71, 5,015.03 and 1,590.21 is: 2,382.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,347.71 : 5,015.03 = 1,590.21 : x
  2. Step 2: Convert to fraction form
    3,347.71/5,015.03 = 1,590.21/x
  3. Step 3: Cross multiply
    3,347.71x = 5,015.03 × 1,590.21
  4. Step 4: Simplify right side
    3,347.71x = 7,974,942.91
  5. Step 5: Solve for x
    x = 7,974,942.91/3,347.71
  6. Step 6: Final answer
    x = 2,382.21

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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.