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Finding the Fourth Proportional to 7,106, 9,807.68 and 4,122.48

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Solution

The fourth proportional to 7,106, 9,807.68 and 4,122.48 is: 5,689.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106 : 9,807.68 = 4,122.48 : x
  2. Step 2: Convert to fraction form
    7,106/9,807.68 = 4,122.48/x
  3. Step 3: Cross multiply
    7,106x = 9,807.68 × 4,122.48
  4. Step 4: Simplify right side
    7,106x = 40,431,964.65
  5. Step 5: Solve for x
    x = 40,431,964.65/7,106
  6. Step 6: Final answer
    x = 5,689.83

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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.