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Finding the Fourth Proportional to 3,165.70, 4,749 and 974.74

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Solution

The fourth proportional to 3,165.70, 4,749 and 974.74 is: 1,462.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.70 : 4,749 = 974.74 : x
  2. Step 2: Convert to fraction form
    3,165.70/4,749 = 974.74/x
  3. Step 3: Cross multiply
    3,165.70x = 4,749 × 974.74
  4. Step 4: Simplify right side
    3,165.70x = 4,629,040.26
  5. Step 5: Solve for x
    x = 4,629,040.26/3,165.70
  6. Step 6: Final answer
    x = 1,462.25

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1.5x scale

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.