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Finding the Fourth Proportional to 8,643.74, 12,953.45 and 4,940.42

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Solution

The fourth proportional to 8,643.74, 12,953.45 and 4,940.42 is: 7,403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.74 : 12,953.45 = 4,940.42 : x
  2. Step 2: Convert to fraction form
    8,643.74/12,953.45 = 4,940.42/x
  3. Step 3: Cross multiply
    8,643.74x = 12,953.45 × 4,940.42
  4. Step 4: Simplify right side
    8,643.74x = 63,995,431.03
  5. Step 5: Solve for x
    x = 63,995,431.03/8,643.74
  6. Step 6: Final answer
    x = 7,403.68

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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.