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Finding the Fourth Proportional to 8,478.36, 11,695.86 and 5,679

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Solution

The fourth proportional to 8,478.36, 11,695.86 and 5,679 is: 7,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.36 : 11,695.86 = 5,679 : x
  2. Step 2: Convert to fraction form
    8,478.36/11,695.86 = 5,679/x
  3. Step 3: Cross multiply
    8,478.36x = 11,695.86 × 5,679
  4. Step 4: Simplify right side
    8,478.36x = 66,420,788.94
  5. Step 5: Solve for x
    x = 66,420,788.94/8,478.36
  6. Step 6: Final answer
    x = 7,834.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.