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Finding the Fourth Proportional to 7,786.13, 10,745.01 and 4,429.02

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Solution

The fourth proportional to 7,786.13, 10,745.01 and 4,429.02 is: 6,112.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.13 : 10,745.01 = 4,429.02 : x
  2. Step 2: Convert to fraction form
    7,786.13/10,745.01 = 4,429.02/x
  3. Step 3: Cross multiply
    7,786.13x = 10,745.01 × 4,429.02
  4. Step 4: Simplify right side
    7,786.13x = 47,589,864.19
  5. Step 5: Solve for x
    x = 47,589,864.19/7,786.13
  6. Step 6: Final answer
    x = 6,112.13

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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.