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Finding the Fourth Proportional to 7,789, 11,685.42 and 2,317

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Solution

The fourth proportional to 7,789, 11,685.42 and 2,317 is: 3,476.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789 : 11,685.42 = 2,317 : x
  2. Step 2: Convert to fraction form
    7,789/11,685.42 = 2,317/x
  3. Step 3: Cross multiply
    7,789x = 11,685.42 × 2,317
  4. Step 4: Simplify right side
    7,789x = 27,075,118.14
  5. Step 5: Solve for x
    x = 27,075,118.14/7,789
  6. Step 6: Final answer
    x = 3,476.07

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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.