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Finding the Fourth Proportional to 4,687.60, 7,029.60 and 1,764.32

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Solution

The fourth proportional to 4,687.60, 7,029.60 and 1,764.32 is: 2,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.60 : 7,029.60 = 1,764.32 : x
  2. Step 2: Convert to fraction form
    4,687.60/7,029.60 = 1,764.32/x
  3. Step 3: Cross multiply
    4,687.60x = 7,029.60 × 1,764.32
  4. Step 4: Simplify right side
    4,687.60x = 12,402,463.87
  5. Step 5: Solve for x
    x = 12,402,463.87/4,687.60
  6. Step 6: Final answer
    x = 2,645.80

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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.