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Finding the Fourth Proportional to 3,328.96, 4,992.58 and 988.41

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Solution

The fourth proportional to 3,328.96, 4,992.58 and 988.41 is: 1,482.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,328.96 : 4,992.58 = 988.41 : x
  2. Step 2: Convert to fraction form
    3,328.96/4,992.58 = 988.41/x
  3. Step 3: Cross multiply
    3,328.96x = 4,992.58 × 988.41
  4. Step 4: Simplify right side
    3,328.96x = 4,934,717.23
  5. Step 5: Solve for x
    x = 4,934,717.23/3,328.96
  6. Step 6: Final answer
    x = 1,482.36

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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.