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Finding the Fourth Proportional to 4,969.71, 7,454.52 and 1,271.93

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Solution

The fourth proportional to 4,969.71, 7,454.52 and 1,271.93 is: 1,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.71 : 7,454.52 = 1,271.93 : x
  2. Step 2: Convert to fraction form
    4,969.71/7,454.52 = 1,271.93/x
  3. Step 3: Cross multiply
    4,969.71x = 7,454.52 × 1,271.93
  4. Step 4: Simplify right side
    4,969.71x = 9,481,590.35
  5. Step 5: Solve for x
    x = 9,481,590.35/4,969.71
  6. Step 6: Final answer
    x = 1,907.88

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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.