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Finding the Fourth Proportional to 4,784.56, 7,172.56 and 1,860.88

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Solution

The fourth proportional to 4,784.56, 7,172.56 and 1,860.88 is: 2,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.56 : 7,172.56 = 1,860.88 : x
  2. Step 2: Convert to fraction form
    4,784.56/7,172.56 = 1,860.88/x
  3. Step 3: Cross multiply
    4,784.56x = 7,172.56 × 1,860.88
  4. Step 4: Simplify right side
    4,784.56x = 13,347,273.45
  5. Step 5: Solve for x
    x = 13,347,273.45/4,784.56
  6. Step 6: Final answer
    x = 2,789.66

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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.