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Finding the Fourth Proportional to 5,305.65, 7,962.26 and 4,278.03

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Solution

The fourth proportional to 5,305.65, 7,962.26 and 4,278.03 is: 6,420.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.65 : 7,962.26 = 4,278.03 : x
  2. Step 2: Convert to fraction form
    5,305.65/7,962.26 = 4,278.03/x
  3. Step 3: Cross multiply
    5,305.65x = 7,962.26 × 4,278.03
  4. Step 4: Simplify right side
    5,305.65x = 34,062,765.76
  5. Step 5: Solve for x
    x = 34,062,765.76/5,305.65
  6. Step 6: Final answer
    x = 6,420.09

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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.