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Finding the Fourth Proportional to 3,132.46, 4,698.96 and 3,089.80

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Solution

The fourth proportional to 3,132.46, 4,698.96 and 3,089.80 is: 4,634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,132.46 : 4,698.96 = 3,089.80 : x
  2. Step 2: Convert to fraction form
    3,132.46/4,698.96 = 3,089.80/x
  3. Step 3: Cross multiply
    3,132.46x = 4,698.96 × 3,089.80
  4. Step 4: Simplify right side
    3,132.46x = 14,518,846.61
  5. Step 5: Solve for x
    x = 14,518,846.61/3,132.46
  6. Step 6: Final answer
    x = 4,634.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.