Home / 3,051.96-4,576.31-971.40

Finding the Fourth Proportional to 3,051.96, 4,576.31 and 971.40

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Solution

The fourth proportional to 3,051.96, 4,576.31 and 971.40 is: 1,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.96 : 4,576.31 = 971.40 : x
  2. Step 2: Convert to fraction form
    3,051.96/4,576.31 = 971.40/x
  3. Step 3: Cross multiply
    3,051.96x = 4,576.31 × 971.40
  4. Step 4: Simplify right side
    3,051.96x = 4,445,422.68
  5. Step 5: Solve for x
    x = 4,445,422.68/3,051.96
  6. Step 6: Final answer
    x = 1,456.58

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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.