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Finding the Fourth Proportional to 3,165.21, 4,747.41 and 973.35

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Solution

The fourth proportional to 3,165.21, 4,747.41 and 973.35 is: 1,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.21 : 4,747.41 = 973.35 : x
  2. Step 2: Convert to fraction form
    3,165.21/4,747.41 = 973.35/x
  3. Step 3: Cross multiply
    3,165.21x = 4,747.41 × 973.35
  4. Step 4: Simplify right side
    3,165.21x = 4,620,891.52
  5. Step 5: Solve for x
    x = 4,620,891.52/3,165.21
  6. Step 6: Final answer
    x = 1,459.90

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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.