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Finding the Fourth Proportional to 14,405.75, 19,879.94 and 7,781.75

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Solution

The fourth proportional to 14,405.75, 19,879.94 and 7,781.75 is: 10,738.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405.75 : 19,879.94 = 7,781.75 : x
  2. Step 2: Convert to fraction form
    14,405.75/19,879.94 = 7,781.75/x
  3. Step 3: Cross multiply
    14,405.75x = 19,879.94 × 7,781.75
  4. Step 4: Simplify right side
    14,405.75x = 154,700,684.19
  5. Step 5: Solve for x
    x = 154,700,684.19/14,405.75
  6. Step 6: Final answer
    x = 10,738.82

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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.