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Finding the Fourth Proportional to 5,208.57, 7,811.03 and 1,509.71

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Solution

The fourth proportional to 5,208.57, 7,811.03 and 1,509.71 is: 2,264.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.57 : 7,811.03 = 1,509.71 : x
  2. Step 2: Convert to fraction form
    5,208.57/7,811.03 = 1,509.71/x
  3. Step 3: Cross multiply
    5,208.57x = 7,811.03 × 1,509.71
  4. Step 4: Simplify right side
    5,208.57x = 11,792,354.82
  5. Step 5: Solve for x
    x = 11,792,354.82/5,208.57
  6. Step 6: Final answer
    x = 2,264.03

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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.