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Finding the Fourth Proportional to 7,805.54, 11,710.70 and 2,541.02

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Solution

The fourth proportional to 7,805.54, 11,710.70 and 2,541.02 is: 3,812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.54 : 11,710.70 = 2,541.02 : x
  2. Step 2: Convert to fraction form
    7,805.54/11,710.70 = 2,541.02/x
  3. Step 3: Cross multiply
    7,805.54x = 11,710.70 × 2,541.02
  4. Step 4: Simplify right side
    7,805.54x = 29,757,134.20
  5. Step 5: Solve for x
    x = 29,757,134.20/7,805.54
  6. Step 6: Final answer
    x = 3,812.31

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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.