Home / 3,097.60-4,647.48-1,150

Finding the Fourth Proportional to 3,097.60, 4,647.48 and 1,150

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Solution

The fourth proportional to 3,097.60, 4,647.48 and 1,150 is: 1,725.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.60 : 4,647.48 = 1,150 : x
  2. Step 2: Convert to fraction form
    3,097.60/4,647.48 = 1,150/x
  3. Step 3: Cross multiply
    3,097.60x = 4,647.48 × 1,150
  4. Step 4: Simplify right side
    3,097.60x = 5,344,602.00
  5. Step 5: Solve for x
    x = 5,344,602.00/3,097.60
  6. Step 6: Final answer
    x = 1,725.40

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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.