Home / 3,114.52-4,672.23-922.96

Finding the Fourth Proportional to 3,114.52, 4,672.23 and 922.96

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Solution

The fourth proportional to 3,114.52, 4,672.23 and 922.96 is: 1,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.52 : 4,672.23 = 922.96 : x
  2. Step 2: Convert to fraction form
    3,114.52/4,672.23 = 922.96/x
  3. Step 3: Cross multiply
    3,114.52x = 4,672.23 × 922.96
  4. Step 4: Simplify right side
    3,114.52x = 4,312,281.40
  5. Step 5: Solve for x
    x = 4,312,281.40/3,114.52
  6. Step 6: Final answer
    x = 1,384.57

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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.