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Finding the Fourth Proportional to 6,804.32, 9,390.32 and 3,820

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Solution

The fourth proportional to 6,804.32, 9,390.32 and 3,820 is: 5,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.32 : 9,390.32 = 3,820 : x
  2. Step 2: Convert to fraction form
    6,804.32/9,390.32 = 3,820/x
  3. Step 3: Cross multiply
    6,804.32x = 9,390.32 × 3,820
  4. Step 4: Simplify right side
    6,804.32x = 35,871,022.40
  5. Step 5: Solve for x
    x = 35,871,022.40/6,804.32
  6. Step 6: Final answer
    x = 5,271.80

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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.