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Finding the Fourth Proportional to 4,969.61, 7,454.39 and 1,271.82

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Solution

The fourth proportional to 4,969.61, 7,454.39 and 1,271.82 is: 1,907.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.61 : 7,454.39 = 1,271.82 : x
  2. Step 2: Convert to fraction form
    4,969.61/7,454.39 = 1,271.82/x
  3. Step 3: Cross multiply
    4,969.61x = 7,454.39 × 1,271.82
  4. Step 4: Simplify right side
    4,969.61x = 9,480,635.93
  5. Step 5: Solve for x
    x = 9,480,635.93/4,969.61
  6. Step 6: Final answer
    x = 1,907.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.