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Finding the Fourth Proportional to 10,782.99, 14,879.16 and 6,305.85

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Solution

The fourth proportional to 10,782.99, 14,879.16 and 6,305.85 is: 8,701.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.99 : 14,879.16 = 6,305.85 : x
  2. Step 2: Convert to fraction form
    10,782.99/14,879.16 = 6,305.85/x
  3. Step 3: Cross multiply
    10,782.99x = 14,879.16 × 6,305.85
  4. Step 4: Simplify right side
    10,782.99x = 93,825,751.09
  5. Step 5: Solve for x
    x = 93,825,751.09/10,782.99
  6. Step 6: Final answer
    x = 8,701.27

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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.