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Finding the Fourth Proportional to 6,386.64, 8,811.66 and 4,029.54

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Solution

The fourth proportional to 6,386.64, 8,811.66 and 4,029.54 is: 5,559.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.64 : 8,811.66 = 4,029.54 : x
  2. Step 2: Convert to fraction form
    6,386.64/8,811.66 = 4,029.54/x
  3. Step 3: Cross multiply
    6,386.64x = 8,811.66 × 4,029.54
  4. Step 4: Simplify right side
    6,386.64x = 35,506,936.44
  5. Step 5: Solve for x
    x = 35,506,936.44/6,386.64
  6. Step 6: Final answer
    x = 5,559.56

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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.