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Finding the Fourth Proportional to 5,208.72, 7,811.10 and 1,509.72

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Solution

The fourth proportional to 5,208.72, 7,811.10 and 1,509.72 is: 2,264.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.72 : 7,811.10 = 1,509.72 : x
  2. Step 2: Convert to fraction form
    5,208.72/7,811.10 = 1,509.72/x
  3. Step 3: Cross multiply
    5,208.72x = 7,811.10 × 1,509.72
  4. Step 4: Simplify right side
    5,208.72x = 11,792,573.89
  5. Step 5: Solve for x
    x = 11,792,573.89/5,208.72
  6. Step 6: Final answer
    x = 2,264.01

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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.