Home / 3,051.91-4,578.23-971.19

Finding the Fourth Proportional to 3,051.91, 4,578.23 and 971.19

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Solution

The fourth proportional to 3,051.91, 4,578.23 and 971.19 is: 1,456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.91 : 4,578.23 = 971.19 : x
  2. Step 2: Convert to fraction form
    3,051.91/4,578.23 = 971.19/x
  3. Step 3: Cross multiply
    3,051.91x = 4,578.23 × 971.19
  4. Step 4: Simplify right side
    3,051.91x = 4,446,319.75
  5. Step 5: Solve for x
    x = 4,446,319.75/3,051.91
  6. Step 6: Final answer
    x = 1,456.90

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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.