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Finding the Fourth Proportional to 4,984.86, 7,477.24 and 1,286.77

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Solution

The fourth proportional to 4,984.86, 7,477.24 and 1,286.77 is: 1,930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,984.86 : 7,477.24 = 1,286.77 : x
  2. Step 2: Convert to fraction form
    4,984.86/7,477.24 = 1,286.77/x
  3. Step 3: Cross multiply
    4,984.86x = 7,477.24 × 1,286.77
  4. Step 4: Simplify right side
    4,984.86x = 9,621,488.11
  5. Step 5: Solve for x
    x = 9,621,488.11/4,984.86
  6. Step 6: Final answer
    x = 1,930.14

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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.