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Finding the Fourth Proportional to 7,430, 10,253.22 and 4,072.98

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Solution

The fourth proportional to 7,430, 10,253.22 and 4,072.98 is: 5,620.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,430 : 10,253.22 = 4,072.98 : x
  2. Step 2: Convert to fraction form
    7,430/10,253.22 = 4,072.98/x
  3. Step 3: Cross multiply
    7,430x = 10,253.22 × 4,072.98
  4. Step 4: Simplify right side
    7,430x = 41,761,160.00
  5. Step 5: Solve for x
    x = 41,761,160.00/7,430
  6. Step 6: Final answer
    x = 5,620.61

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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.