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Finding the Fourth Proportional to 3,041.50, 4,562.33 and 989.50

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Solution

The fourth proportional to 3,041.50, 4,562.33 and 989.50 is: 1,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,041.50 : 4,562.33 = 989.50 : x
  2. Step 2: Convert to fraction form
    3,041.50/4,562.33 = 989.50/x
  3. Step 3: Cross multiply
    3,041.50x = 4,562.33 × 989.50
  4. Step 4: Simplify right side
    3,041.50x = 4,514,425.54
  5. Step 5: Solve for x
    x = 4,514,425.54/3,041.50
  6. Step 6: Final answer
    x = 1,484.28

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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.