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Finding the Fourth Proportional to 7,798.94, 11,655.29 and 6,986.78

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Solution

The fourth proportional to 7,798.94, 11,655.29 and 6,986.78 is: 10,441.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.94 : 11,655.29 = 6,986.78 : x
  2. Step 2: Convert to fraction form
    7,798.94/11,655.29 = 6,986.78/x
  3. Step 3: Cross multiply
    7,798.94x = 11,655.29 × 6,986.78
  4. Step 4: Simplify right side
    7,798.94x = 81,432,912.13
  5. Step 5: Solve for x
    x = 81,432,912.13/7,798.94
  6. Step 6: Final answer
    x = 10,441.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.