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Finding the Fourth Proportional to 5,206.63, 7,811.09 and 1,509.01

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Solution

The fourth proportional to 5,206.63, 7,811.09 and 1,509.01 is: 2,263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.63 : 7,811.09 = 1,509.01 : x
  2. Step 2: Convert to fraction form
    5,206.63/7,811.09 = 1,509.01/x
  3. Step 3: Cross multiply
    5,206.63x = 7,811.09 × 1,509.01
  4. Step 4: Simplify right side
    5,206.63x = 11,787,012.92
  5. Step 5: Solve for x
    x = 11,787,012.92/5,206.63
  6. Step 6: Final answer
    x = 2,263.85

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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.