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Finding the Fourth Proportional to 7,128.46, 9,829.25 and 4,607.25

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Solution

The fourth proportional to 7,128.46, 9,829.25 and 4,607.25 is: 6,352.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.46 : 9,829.25 = 4,607.25 : x
  2. Step 2: Convert to fraction form
    7,128.46/9,829.25 = 4,607.25/x
  3. Step 3: Cross multiply
    7,128.46x = 9,829.25 × 4,607.25
  4. Step 4: Simplify right side
    7,128.46x = 45,285,739.88
  5. Step 5: Solve for x
    x = 45,285,739.88/7,128.46
  6. Step 6: Final answer
    x = 6,352.81

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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.