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Finding the Fourth Proportional to 6,420.74, 9,630.42 and 4,354.01

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Solution

The fourth proportional to 6,420.74, 9,630.42 and 4,354.01 is: 6,530.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.74 : 9,630.42 = 4,354.01 : x
  2. Step 2: Convert to fraction form
    6,420.74/9,630.42 = 4,354.01/x
  3. Step 3: Cross multiply
    6,420.74x = 9,630.42 × 4,354.01
  4. Step 4: Simplify right side
    6,420.74x = 41,930,944.98
  5. Step 5: Solve for x
    x = 41,930,944.98/6,420.74
  6. Step 6: Final answer
    x = 6,530.55

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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.