Home / 10,948-16,424.46-3,156.22

Finding the Fourth Proportional to 10,948, 16,424.46 and 3,156.22

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Solution

The fourth proportional to 10,948, 16,424.46 and 3,156.22 is: 4,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,948 : 16,424.46 = 3,156.22 : x
  2. Step 2: Convert to fraction form
    10,948/16,424.46 = 3,156.22/x
  3. Step 3: Cross multiply
    10,948x = 16,424.46 × 3,156.22
  4. Step 4: Simplify right side
    10,948x = 51,839,209.14
  5. Step 5: Solve for x
    x = 51,839,209.14/10,948
  6. Step 6: Final answer
    x = 4,735.04

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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.