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Finding the Fourth Proportional to 4,751.78, 7,127.78 and 1,631.76

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Solution

The fourth proportional to 4,751.78, 7,127.78 and 1,631.76 is: 2,447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.78 : 7,127.78 = 1,631.76 : x
  2. Step 2: Convert to fraction form
    4,751.78/7,127.78 = 1,631.76/x
  3. Step 3: Cross multiply
    4,751.78x = 7,127.78 × 1,631.76
  4. Step 4: Simplify right side
    4,751.78x = 11,630,826.29
  5. Step 5: Solve for x
    x = 11,630,826.29/4,751.78
  6. Step 6: Final answer
    x = 2,447.68

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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.