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Finding the Fourth Proportional to 10,700.64, 16,048.80 and 2,908.80

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Solution

The fourth proportional to 10,700.64, 16,048.80 and 2,908.80 is: 4,362.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.64 : 16,048.80 = 2,908.80 : x
  2. Step 2: Convert to fraction form
    10,700.64/16,048.80 = 2,908.80/x
  3. Step 3: Cross multiply
    10,700.64x = 16,048.80 × 2,908.80
  4. Step 4: Simplify right side
    10,700.64x = 46,682,749.44
  5. Step 5: Solve for x
    x = 46,682,749.44/10,700.64
  6. Step 6: Final answer
    x = 4,362.61

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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.