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Finding the Fourth Proportional to 8,678.64, 11,976.47 and 4,699.67

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Solution

The fourth proportional to 8,678.64, 11,976.47 and 4,699.67 is: 6,485.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.64 : 11,976.47 = 4,699.67 : x
  2. Step 2: Convert to fraction form
    8,678.64/11,976.47 = 4,699.67/x
  3. Step 3: Cross multiply
    8,678.64x = 11,976.47 × 4,699.67
  4. Step 4: Simplify right side
    8,678.64x = 56,285,391.01
  5. Step 5: Solve for x
    x = 56,285,391.01/8,678.64
  6. Step 6: Final answer
    x = 6,485.51

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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.