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Finding the Fourth Proportional to 4,777.67, 7,158 and 4,077.23

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Solution

The fourth proportional to 4,777.67, 7,158 and 4,077.23 is: 6,108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.67 : 7,158 = 4,077.23 : x
  2. Step 2: Convert to fraction form
    4,777.67/7,158 = 4,077.23/x
  3. Step 3: Cross multiply
    4,777.67x = 7,158 × 4,077.23
  4. Step 4: Simplify right side
    4,777.67x = 29,184,776.55
  5. Step 5: Solve for x
    x = 29,184,776.55/4,777.67
  6. Step 6: Final answer
    x = 6,108.58

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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.