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Finding the Fourth Proportional to 4,762.04, 7,137.96 and 1,987.98

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Solution

The fourth proportional to 4,762.04, 7,137.96 and 1,987.98 is: 2,979.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.04 : 7,137.96 = 1,987.98 : x
  2. Step 2: Convert to fraction form
    4,762.04/7,137.96 = 1,987.98/x
  3. Step 3: Cross multiply
    4,762.04x = 7,137.96 × 1,987.98
  4. Step 4: Simplify right side
    4,762.04x = 14,190,121.72
  5. Step 5: Solve for x
    x = 14,190,121.72/4,762.04
  6. Step 6: Final answer
    x = 2,979.84

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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.