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Finding the Fourth Proportional to 14,405.62, 19,879.76 and 7,781.62

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Solution

The fourth proportional to 14,405.62, 19,879.76 and 7,781.62 is: 10,738.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,405.62 : 19,879.76 = 7,781.62 : x
  2. Step 2: Convert to fraction form
    14,405.62/19,879.76 = 7,781.62/x
  3. Step 3: Cross multiply
    14,405.62x = 19,879.76 × 7,781.62
  4. Step 4: Simplify right side
    14,405.62x = 154,696,738.01
  5. Step 5: Solve for x
    x = 154,696,738.01/14,405.62
  6. Step 6: Final answer
    x = 10,738.64

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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.