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Finding the Fourth Proportional to 4,969.65, 7,454.47 and 1,271.89

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Solution

The fourth proportional to 4,969.65, 7,454.47 and 1,271.89 is: 1,907.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.65 : 7,454.47 = 1,271.89 : x
  2. Step 2: Convert to fraction form
    4,969.65/7,454.47 = 1,271.89/x
  3. Step 3: Cross multiply
    4,969.65x = 7,454.47 × 1,271.89
  4. Step 4: Simplify right side
    4,969.65x = 9,481,228.58
  5. Step 5: Solve for x
    x = 9,481,228.58/4,969.65
  6. Step 6: Final answer
    x = 1,907.83

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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.