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Finding the Fourth Proportional to 10,007.63, 13,811.74 and 5,815.88

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Solution

The fourth proportional to 10,007.63, 13,811.74 and 5,815.88 is: 8,026.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,007.63 : 13,811.74 = 5,815.88 : x
  2. Step 2: Convert to fraction form
    10,007.63/13,811.74 = 5,815.88/x
  3. Step 3: Cross multiply
    10,007.63x = 13,811.74 × 5,815.88
  4. Step 4: Simplify right side
    10,007.63x = 80,327,338.83
  5. Step 5: Solve for x
    x = 80,327,338.83/10,007.63
  6. Step 6: Final answer
    x = 8,026.61

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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.