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Finding the Fourth Proportional to 4,709.98, 7,064 and 4,475.80

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Solution

The fourth proportional to 4,709.98, 7,064 and 4,475.80 is: 6,712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.98 : 7,064 = 4,475.80 : x
  2. Step 2: Convert to fraction form
    4,709.98/7,064 = 4,475.80/x
  3. Step 3: Cross multiply
    4,709.98x = 7,064 × 4,475.80
  4. Step 4: Simplify right side
    4,709.98x = 31,617,051.20
  5. Step 5: Solve for x
    x = 31,617,051.20/4,709.98
  6. Step 6: Final answer
    x = 6,712.78

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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.