Home / 3,071.60-4,609.46-1,124

Finding the Fourth Proportional to 3,071.60, 4,609.46 and 1,124

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Solution

The fourth proportional to 3,071.60, 4,609.46 and 1,124 is: 1,686.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.60 : 4,609.46 = 1,124 : x
  2. Step 2: Convert to fraction form
    3,071.60/4,609.46 = 1,124/x
  3. Step 3: Cross multiply
    3,071.60x = 4,609.46 × 1,124
  4. Step 4: Simplify right side
    3,071.60x = 5,181,033.04
  5. Step 5: Solve for x
    x = 5,181,033.04/3,071.60
  6. Step 6: Final answer
    x = 1,686.75

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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.