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Finding the Fourth Proportional to 4,751.81, 7,128.67 and 1,464.77

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Solution

The fourth proportional to 4,751.81, 7,128.67 and 1,464.77 is: 2,197.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,751.81 : 7,128.67 = 1,464.77 : x
  2. Step 2: Convert to fraction form
    4,751.81/7,128.67 = 1,464.77/x
  3. Step 3: Cross multiply
    4,751.81x = 7,128.67 × 1,464.77
  4. Step 4: Simplify right side
    4,751.81x = 10,441,822.65
  5. Step 5: Solve for x
    x = 10,441,822.65/4,751.81
  6. Step 6: Final answer
    x = 2,197.44

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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.