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Finding the Fourth Proportional to 3,281.50, 4,923.06 and 973

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Solution

The fourth proportional to 3,281.50, 4,923.06 and 973 is: 1,459.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.50 : 4,923.06 = 973 : x
  2. Step 2: Convert to fraction form
    3,281.50/4,923.06 = 973/x
  3. Step 3: Cross multiply
    3,281.50x = 4,923.06 × 973
  4. Step 4: Simplify right side
    3,281.50x = 4,790,137.38
  5. Step 5: Solve for x
    x = 4,790,137.38/3,281.50
  6. Step 6: Final answer
    x = 1,459.74

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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.