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Finding the Fourth Proportional to 3,161.70, 4,742.56 and 970.43

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Solution

The fourth proportional to 3,161.70, 4,742.56 and 970.43 is: 1,455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.70 : 4,742.56 = 970.43 : x
  2. Step 2: Convert to fraction form
    3,161.70/4,742.56 = 970.43/x
  3. Step 3: Cross multiply
    3,161.70x = 4,742.56 × 970.43
  4. Step 4: Simplify right side
    3,161.70x = 4,602,322.50
  5. Step 5: Solve for x
    x = 4,602,322.50/3,161.70
  6. Step 6: Final answer
    x = 1,455.65

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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.