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Finding the Fourth Proportional to 7,885.81, 10,957.09 and 7,803.54

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Solution

The fourth proportional to 7,885.81, 10,957.09 and 7,803.54 is: 10,842.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,885.81 : 10,957.09 = 7,803.54 : x
  2. Step 2: Convert to fraction form
    7,885.81/10,957.09 = 7,803.54/x
  3. Step 3: Cross multiply
    7,885.81x = 10,957.09 × 7,803.54
  4. Step 4: Simplify right side
    7,885.81x = 85,504,085.22
  5. Step 5: Solve for x
    x = 85,504,085.22/7,885.81
  6. Step 6: Final answer
    x = 10,842.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.