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Finding the Fourth Proportional to 3,097.40, 4,643.40 and 1,865.30

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Solution

The fourth proportional to 3,097.40, 4,643.40 and 1,865.30 is: 2,796.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.40 : 4,643.40 = 1,865.30 : x
  2. Step 2: Convert to fraction form
    3,097.40/4,643.40 = 1,865.30/x
  3. Step 3: Cross multiply
    3,097.40x = 4,643.40 × 1,865.30
  4. Step 4: Simplify right side
    3,097.40x = 8,661,334.02
  5. Step 5: Solve for x
    x = 8,661,334.02/3,097.40
  6. Step 6: Final answer
    x = 2,796.32

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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.