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Finding the Fourth Proportional to 7,101, 9,804.24 and 4,311.36

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Solution

The fourth proportional to 7,101, 9,804.24 and 4,311.36 is: 5,952.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101 : 9,804.24 = 4,311.36 : x
  2. Step 2: Convert to fraction form
    7,101/9,804.24 = 4,311.36/x
  3. Step 3: Cross multiply
    7,101x = 9,804.24 × 4,311.36
  4. Step 4: Simplify right side
    7,101x = 42,269,608.17
  5. Step 5: Solve for x
    x = 42,269,608.17/7,101
  6. Step 6: Final answer
    x = 5,952.63

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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.