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Finding the Fourth Proportional to 8,497.86, 12,746.34 and 2,653.80

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Solution

The fourth proportional to 8,497.86, 12,746.34 and 2,653.80 is: 3,980.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.86 : 12,746.34 = 2,653.80 : x
  2. Step 2: Convert to fraction form
    8,497.86/12,746.34 = 2,653.80/x
  3. Step 3: Cross multiply
    8,497.86x = 12,746.34 × 2,653.80
  4. Step 4: Simplify right side
    8,497.86x = 33,826,237.09
  5. Step 5: Solve for x
    x = 33,826,237.09/8,497.86
  6. Step 6: Final answer
    x = 3,980.56

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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.