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Finding the Fourth Proportional to 3,161.50, 4,742.05 and 970.06

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Solution

The fourth proportional to 3,161.50, 4,742.05 and 970.06 is: 1,455.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.50 : 4,742.05 = 970.06 : x
  2. Step 2: Convert to fraction form
    3,161.50/4,742.05 = 970.06/x
  3. Step 3: Cross multiply
    3,161.50x = 4,742.05 × 970.06
  4. Step 4: Simplify right side
    3,161.50x = 4,600,073.02
  5. Step 5: Solve for x
    x = 4,600,073.02/3,161.50
  6. Step 6: Final answer
    x = 1,455.03

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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.