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Finding the Fourth Proportional to 6,962.58, 9,609.03 and 3,978.63

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Solution

The fourth proportional to 6,962.58, 9,609.03 and 3,978.63 is: 5,490.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962.58 : 9,609.03 = 3,978.63 : x
  2. Step 2: Convert to fraction form
    6,962.58/9,609.03 = 3,978.63/x
  3. Step 3: Cross multiply
    6,962.58x = 9,609.03 × 3,978.63
  4. Step 4: Simplify right side
    6,962.58x = 38,230,775.03
  5. Step 5: Solve for x
    x = 38,230,775.03/6,962.58
  6. Step 6: Final answer
    x = 5,490.89

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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.