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Finding the Fourth Proportional to 8,653.86, 12,969.75 and 4,212.59

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Solution

The fourth proportional to 8,653.86, 12,969.75 and 4,212.59 is: 6,313.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.86 : 12,969.75 = 4,212.59 : x
  2. Step 2: Convert to fraction form
    8,653.86/12,969.75 = 4,212.59/x
  3. Step 3: Cross multiply
    8,653.86x = 12,969.75 × 4,212.59
  4. Step 4: Simplify right side
    8,653.86x = 54,636,190.10
  5. Step 5: Solve for x
    x = 54,636,190.10/8,653.86
  6. Step 6: Final answer
    x = 6,313.51

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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.