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Finding the Fourth Proportional to 4,762.58, 7,136 and 1,640.88

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Solution

The fourth proportional to 4,762.58, 7,136 and 1,640.88 is: 2,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.58 : 7,136 = 1,640.88 : x
  2. Step 2: Convert to fraction form
    4,762.58/7,136 = 1,640.88/x
  3. Step 3: Cross multiply
    4,762.58x = 7,136 × 1,640.88
  4. Step 4: Simplify right side
    4,762.58x = 11,709,319.68
  5. Step 5: Solve for x
    x = 11,709,319.68/4,762.58
  6. Step 6: Final answer
    x = 2,458.61

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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.