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Finding the Fourth Proportional to 8,007.98, 12,005.75 and 5,190.87

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Solution

The fourth proportional to 8,007.98, 12,005.75 and 5,190.87 is: 7,782.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,007.98 : 12,005.75 = 5,190.87 : x
  2. Step 2: Convert to fraction form
    8,007.98/12,005.75 = 5,190.87/x
  3. Step 3: Cross multiply
    8,007.98x = 12,005.75 × 5,190.87
  4. Step 4: Simplify right side
    8,007.98x = 62,320,244.51
  5. Step 5: Solve for x
    x = 62,320,244.51/8,007.98
  6. Step 6: Final answer
    x = 7,782.27

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1.5x scale

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.