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Finding the Fourth Proportional to 3,012.97, 4,518.40 and 1,431.50

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Solution

The fourth proportional to 3,012.97, 4,518.40 and 1,431.50 is: 2,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.97 : 4,518.40 = 1,431.50 : x
  2. Step 2: Convert to fraction form
    3,012.97/4,518.40 = 1,431.50/x
  3. Step 3: Cross multiply
    3,012.97x = 4,518.40 × 1,431.50
  4. Step 4: Simplify right side
    3,012.97x = 6,468,089.60
  5. Step 5: Solve for x
    x = 6,468,089.60/3,012.97
  6. Step 6: Final answer
    x = 2,146.75

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1.5x scale

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.