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Finding the Fourth Proportional to 8,436.40, 12,653.62 and 2,889

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Solution

The fourth proportional to 8,436.40, 12,653.62 and 2,889 is: 4,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,436.40 : 12,653.62 = 2,889 : x
  2. Step 2: Convert to fraction form
    8,436.40/12,653.62 = 2,889/x
  3. Step 3: Cross multiply
    8,436.40x = 12,653.62 × 2,889
  4. Step 4: Simplify right side
    8,436.40x = 36,556,300.96
  5. Step 5: Solve for x
    x = 36,556,300.96/8,436.40
  6. Step 6: Final answer
    x = 4,333.16

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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.