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Finding the Fourth Proportional to 27,878.69, 41,807.13 and 10,105.13

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Solution

The fourth proportional to 27,878.69, 41,807.13 and 10,105.13 is: 15,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.69 : 41,807.13 = 10,105.13 : x
  2. Step 2: Convert to fraction form
    27,878.69/41,807.13 = 10,105.13/x
  3. Step 3: Cross multiply
    27,878.69x = 41,807.13 × 10,105.13
  4. Step 4: Simplify right side
    27,878.69x = 422,466,483.58
  5. Step 5: Solve for x
    x = 422,466,483.58/27,878.69
  6. Step 6: Final answer
    x = 15,153.74

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1.5x scale

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.