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Finding the Fourth Proportional to 3,161.90, 4,743.30 and 970.22

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Solution

The fourth proportional to 3,161.90, 4,743.30 and 970.22 is: 1,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.90 : 4,743.30 = 970.22 : x
  2. Step 2: Convert to fraction form
    3,161.90/4,743.30 = 970.22/x
  3. Step 3: Cross multiply
    3,161.90x = 4,743.30 × 970.22
  4. Step 4: Simplify right side
    3,161.90x = 4,602,044.53
  5. Step 5: Solve for x
    x = 4,602,044.53/3,161.90
  6. Step 6: Final answer
    x = 1,455.47

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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.