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Finding the Fourth Proportional to 6,390.21, 9,573.78 and 5,349.09

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Solution

The fourth proportional to 6,390.21, 9,573.78 and 5,349.09 is: 8,013.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.21 : 9,573.78 = 5,349.09 : x
  2. Step 2: Convert to fraction form
    6,390.21/9,573.78 = 5,349.09/x
  3. Step 3: Cross multiply
    6,390.21x = 9,573.78 × 5,349.09
  4. Step 4: Simplify right side
    6,390.21x = 51,211,010.86
  5. Step 5: Solve for x
    x = 51,211,010.86/6,390.21
  6. Step 6: Final answer
    x = 8,013.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.