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Finding the Fourth Proportional to 4,864, 7,297.08 and 1,786

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Solution

The fourth proportional to 4,864, 7,297.08 and 1,786 is: 2,679.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864 : 7,297.08 = 1,786 : x
  2. Step 2: Convert to fraction form
    4,864/7,297.08 = 1,786/x
  3. Step 3: Cross multiply
    4,864x = 7,297.08 × 1,786
  4. Step 4: Simplify right side
    4,864x = 13,032,584.88
  5. Step 5: Solve for x
    x = 13,032,584.88/4,864
  6. Step 6: Final answer
    x = 2,679.40

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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.