Home / 27,838-41,756.19-10,307.44

Finding the Fourth Proportional to 27,838, 41,756.19 and 10,307.44

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Solution

The fourth proportional to 27,838, 41,756.19 and 10,307.44 is: 15,460.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838 : 41,756.19 = 10,307.44 : x
  2. Step 2: Convert to fraction form
    27,838/41,756.19 = 10,307.44/x
  3. Step 3: Cross multiply
    27,838x = 41,756.19 × 10,307.44
  4. Step 4: Simplify right side
    27,838x = 430,399,423.05
  5. Step 5: Solve for x
    x = 430,399,423.05/27,838
  6. Step 6: Final answer
    x = 15,460.86

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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.