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Finding the Fourth Proportional to 8,647.74, 12,971.43 and 2,804.36

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Solution

The fourth proportional to 8,647.74, 12,971.43 and 2,804.36 is: 4,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,647.74 : 12,971.43 = 2,804.36 : x
  2. Step 2: Convert to fraction form
    8,647.74/12,971.43 = 2,804.36/x
  3. Step 3: Cross multiply
    8,647.74x = 12,971.43 × 2,804.36
  4. Step 4: Simplify right side
    8,647.74x = 36,376,494.58
  5. Step 5: Solve for x
    x = 36,376,494.58/8,647.74
  6. Step 6: Final answer
    x = 4,206.47

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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.