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Finding the Fourth Proportional to 4,266, 6,400.08 and 1,188

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Solution

The fourth proportional to 4,266, 6,400.08 and 1,188 is: 1,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266 : 6,400.08 = 1,188 : x
  2. Step 2: Convert to fraction form
    4,266/6,400.08 = 1,188/x
  3. Step 3: Cross multiply
    4,266x = 6,400.08 × 1,188
  4. Step 4: Simplify right side
    4,266x = 7,603,295.04
  5. Step 5: Solve for x
    x = 7,603,295.04/4,266
  6. Step 6: Final answer
    x = 1,782.30

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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.