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Finding the Fourth Proportional to 7,765, 11,643.54 and 2,569

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Solution

The fourth proportional to 7,765, 11,643.54 and 2,569 is: 3,852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765 : 11,643.54 = 2,569 : x
  2. Step 2: Convert to fraction form
    7,765/11,643.54 = 2,569/x
  3. Step 3: Cross multiply
    7,765x = 11,643.54 × 2,569
  4. Step 4: Simplify right side
    7,765x = 29,912,254.26
  5. Step 5: Solve for x
    x = 29,912,254.26/7,765
  6. Step 6: Final answer
    x = 3,852.19

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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.