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Finding the Fourth Proportional to 3,161.74, 4,742.81 and 970.62

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Solution

The fourth proportional to 3,161.74, 4,742.81 and 970.62 is: 1,455.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.74 : 4,742.81 = 970.62 : x
  2. Step 2: Convert to fraction form
    3,161.74/4,742.81 = 970.62/x
  3. Step 3: Cross multiply
    3,161.74x = 4,742.81 × 970.62
  4. Step 4: Simplify right side
    3,161.74x = 4,603,466.24
  5. Step 5: Solve for x
    x = 4,603,466.24/3,161.74
  6. Step 6: Final answer
    x = 1,455.99

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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.