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Finding the Fourth Proportional to 4,764.86, 7,148.40 and 1,989.98

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Solution

The fourth proportional to 4,764.86, 7,148.40 and 1,989.98 is: 2,985.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.86 : 7,148.40 = 1,989.98 : x
  2. Step 2: Convert to fraction form
    4,764.86/7,148.40 = 1,989.98/x
  3. Step 3: Cross multiply
    4,764.86x = 7,148.40 × 1,989.98
  4. Step 4: Simplify right side
    4,764.86x = 14,225,173.03
  5. Step 5: Solve for x
    x = 14,225,173.03/4,764.86
  6. Step 6: Final answer
    x = 2,985.43

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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.