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Finding the Fourth Proportional to 7,149, 10,727.16 and 3,405.01

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Solution

The fourth proportional to 7,149, 10,727.16 and 3,405.01 is: 5,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149 : 10,727.16 = 3,405.01 : x
  2. Step 2: Convert to fraction form
    7,149/10,727.16 = 3,405.01/x
  3. Step 3: Cross multiply
    7,149x = 10,727.16 × 3,405.01
  4. Step 4: Simplify right side
    7,149x = 36,526,087.07
  5. Step 5: Solve for x
    x = 36,526,087.07/7,149
  6. Step 6: Final answer
    x = 5,109.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.