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Finding the Fourth Proportional to 10,054.78, 13,874.93 and 5,578.38

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Solution

The fourth proportional to 10,054.78, 13,874.93 and 5,578.38 is: 7,697.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.78 : 13,874.93 = 5,578.38 : x
  2. Step 2: Convert to fraction form
    10,054.78/13,874.93 = 5,578.38/x
  3. Step 3: Cross multiply
    10,054.78x = 13,874.93 × 5,578.38
  4. Step 4: Simplify right side
    10,054.78x = 77,399,625.04
  5. Step 5: Solve for x
    x = 77,399,625.04/10,054.78
  6. Step 6: Final answer
    x = 7,697.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.