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Finding the Fourth Proportional to 10,720, 14,793.60 and 6,004.27

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Solution

The fourth proportional to 10,720, 14,793.60 and 6,004.27 is: 8,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,720 : 14,793.60 = 6,004.27 : x
  2. Step 2: Convert to fraction form
    10,720/14,793.60 = 6,004.27/x
  3. Step 3: Cross multiply
    10,720x = 14,793.60 × 6,004.27
  4. Step 4: Simplify right side
    10,720x = 88,824,768.67
  5. Step 5: Solve for x
    x = 88,824,768.67/10,720
  6. Step 6: Final answer
    x = 8,285.89

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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.