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Finding the Fourth Proportional to 7,776, 11,665.17 and 2,509.25

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Solution

The fourth proportional to 7,776, 11,665.17 and 2,509.25 is: 3,764.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776 : 11,665.17 = 2,509.25 : x
  2. Step 2: Convert to fraction form
    7,776/11,665.17 = 2,509.25/x
  3. Step 3: Cross multiply
    7,776x = 11,665.17 × 2,509.25
  4. Step 4: Simplify right side
    7,776x = 29,270,827.82
  5. Step 5: Solve for x
    x = 29,270,827.82/7,776
  6. Step 6: Final answer
    x = 3,764.25

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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.