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Finding the Fourth Proportional to 5,299.79, 7,949.83 and 1,404.19

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Solution

The fourth proportional to 5,299.79, 7,949.83 and 1,404.19 is: 2,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.79 : 7,949.83 = 1,404.19 : x
  2. Step 2: Convert to fraction form
    5,299.79/7,949.83 = 1,404.19/x
  3. Step 3: Cross multiply
    5,299.79x = 7,949.83 × 1,404.19
  4. Step 4: Simplify right side
    5,299.79x = 11,163,048.40
  5. Step 5: Solve for x
    x = 11,163,048.40/5,299.79
  6. Step 6: Final answer
    x = 2,106.32

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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.