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Finding the Fourth Proportional to 8,993.76, 12,405.30 and 7,812.78

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Solution

The fourth proportional to 8,993.76, 12,405.30 and 7,812.78 is: 10,776.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.76 : 12,405.30 = 7,812.78 : x
  2. Step 2: Convert to fraction form
    8,993.76/12,405.30 = 7,812.78/x
  3. Step 3: Cross multiply
    8,993.76x = 12,405.30 × 7,812.78
  4. Step 4: Simplify right side
    8,993.76x = 96,919,879.73
  5. Step 5: Solve for x
    x = 96,919,879.73/8,993.76
  6. Step 6: Final answer
    x = 10,776.35

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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.