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Finding the Fourth Proportional to 4,807.54, 7,212.47 and 1,805.61

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Solution

The fourth proportional to 4,807.54, 7,212.47 and 1,805.61 is: 2,708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.54 : 7,212.47 = 1,805.61 : x
  2. Step 2: Convert to fraction form
    4,807.54/7,212.47 = 1,805.61/x
  3. Step 3: Cross multiply
    4,807.54x = 7,212.47 × 1,805.61
  4. Step 4: Simplify right side
    4,807.54x = 13,022,871.89
  5. Step 5: Solve for x
    x = 13,022,871.89/4,807.54
  6. Step 6: Final answer
    x = 2,708.84

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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.