Home / 10,715.44-16,071-2,923.24

Finding the Fourth Proportional to 10,715.44, 16,071 and 2,923.24

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Solution

The fourth proportional to 10,715.44, 16,071 and 2,923.24 is: 4,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.44 : 16,071 = 2,923.24 : x
  2. Step 2: Convert to fraction form
    10,715.44/16,071 = 2,923.24/x
  3. Step 3: Cross multiply
    10,715.44x = 16,071 × 2,923.24
  4. Step 4: Simplify right side
    10,715.44x = 46,979,390.04
  5. Step 5: Solve for x
    x = 46,979,390.04/10,715.44
  6. Step 6: Final answer
    x = 4,384.27

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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.