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Finding the Fourth Proportional to 10,720.78, 14,793.93 and 6,004.96

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Solution

The fourth proportional to 10,720.78, 14,793.93 and 6,004.96 is: 8,286.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720.78 : 14,793.93 = 6,004.96 : x
  2. Step 2: Convert to fraction form
    10,720.78/14,793.93 = 6,004.96/x
  3. Step 3: Cross multiply
    10,720.78x = 14,793.93 × 6,004.96
  4. Step 4: Simplify right side
    10,720.78x = 88,836,957.89
  5. Step 5: Solve for x
    x = 88,836,957.89/10,720.78
  6. Step 6: Final answer
    x = 8,286.43

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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.