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Finding the Fourth Proportional to 7,305, 10,958.58 and 3,407.28

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Solution

The fourth proportional to 7,305, 10,958.58 and 3,407.28 is: 5,111.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,305 : 10,958.58 = 3,407.28 : x
  2. Step 2: Convert to fraction form
    7,305/10,958.58 = 3,407.28/x
  3. Step 3: Cross multiply
    7,305x = 10,958.58 × 3,407.28
  4. Step 4: Simplify right side
    7,305x = 37,338,950.46
  5. Step 5: Solve for x
    x = 37,338,950.46/7,305
  6. Step 6: Final answer
    x = 5,111.42

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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.