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Finding the Fourth Proportional to 7,405, 11,111.88 and 2,728.30

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Solution

The fourth proportional to 7,405, 11,111.88 and 2,728.30 is: 4,094.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405 : 11,111.88 = 2,728.30 : x
  2. Step 2: Convert to fraction form
    7,405/11,111.88 = 2,728.30/x
  3. Step 3: Cross multiply
    7,405x = 11,111.88 × 2,728.30
  4. Step 4: Simplify right side
    7,405x = 30,316,542.20
  5. Step 5: Solve for x
    x = 30,316,542.20/7,405
  6. Step 6: Final answer
    x = 4,094.06

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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.