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Finding the Fourth Proportional to 5,270.50, 7,907.10 and 1,807.75

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Solution

The fourth proportional to 5,270.50, 7,907.10 and 1,807.75 is: 2,712.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.50 : 7,907.10 = 1,807.75 : x
  2. Step 2: Convert to fraction form
    5,270.50/7,907.10 = 1,807.75/x
  3. Step 3: Cross multiply
    5,270.50x = 7,907.10 × 1,807.75
  4. Step 4: Simplify right side
    5,270.50x = 14,294,060.03
  5. Step 5: Solve for x
    x = 14,294,060.03/5,270.50
  6. Step 6: Final answer
    x = 2,712.09

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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.