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Finding the Fourth Proportional to 10,057.69, 13,879.98 and 6,078.03

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Solution

The fourth proportional to 10,057.69, 13,879.98 and 6,078.03 is: 8,387.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,057.69 : 13,879.98 = 6,078.03 : x
  2. Step 2: Convert to fraction form
    10,057.69/13,879.98 = 6,078.03/x
  3. Step 3: Cross multiply
    10,057.69x = 13,879.98 × 6,078.03
  4. Step 4: Simplify right side
    10,057.69x = 84,362,934.84
  5. Step 5: Solve for x
    x = 84,362,934.84/10,057.69
  6. Step 6: Final answer
    x = 8,387.90

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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.