Home / 3,160.51-4,742-1,311.16

Finding the Fourth Proportional to 3,160.51, 4,742 and 1,311.16

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Solution

The fourth proportional to 3,160.51, 4,742 and 1,311.16 is: 1,967.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.51 : 4,742 = 1,311.16 : x
  2. Step 2: Convert to fraction form
    3,160.51/4,742 = 1,311.16/x
  3. Step 3: Cross multiply
    3,160.51x = 4,742 × 1,311.16
  4. Step 4: Simplify right side
    3,160.51x = 6,217,520.72
  5. Step 5: Solve for x
    x = 6,217,520.72/3,160.51
  6. Step 6: Final answer
    x = 1,967.25

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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.