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Finding the Fourth Proportional to 6,112.71, 8,427.38 and 4,857.93

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Solution

The fourth proportional to 6,112.71, 8,427.38 and 4,857.93 is: 6,697.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,112.71 : 8,427.38 = 4,857.93 : x
  2. Step 2: Convert to fraction form
    6,112.71/8,427.38 = 4,857.93/x
  3. Step 3: Cross multiply
    6,112.71x = 8,427.38 × 4,857.93
  4. Step 4: Simplify right side
    6,112.71x = 40,939,597.83
  5. Step 5: Solve for x
    x = 40,939,597.83/6,112.71
  6. Step 6: Final answer
    x = 6,697.45

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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.