Home / 2,271.90-3,409.32-973.36

Finding the Fourth Proportional to 2,271.90, 3,409.32 and 973.36

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Solution

The fourth proportional to 2,271.90, 3,409.32 and 973.36 is: 1,460.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,271.90 : 3,409.32 = 973.36 : x
  2. Step 2: Convert to fraction form
    2,271.90/3,409.32 = 973.36/x
  3. Step 3: Cross multiply
    2,271.90x = 3,409.32 × 973.36
  4. Step 4: Simplify right side
    2,271.90x = 3,318,495.72
  5. Step 5: Solve for x
    x = 3,318,495.72/2,271.90
  6. Step 6: Final answer
    x = 1,460.67

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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.