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Finding the Fourth Proportional to 3,161.76, 4,743.42 and 1,312.32

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Solution

The fourth proportional to 3,161.76, 4,743.42 and 1,312.32 is: 1,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.76 : 4,743.42 = 1,312.32 : x
  2. Step 2: Convert to fraction form
    3,161.76/4,743.42 = 1,312.32/x
  3. Step 3: Cross multiply
    3,161.76x = 4,743.42 × 1,312.32
  4. Step 4: Simplify right side
    3,161.76x = 6,224,884.93
  5. Step 5: Solve for x
    x = 6,224,884.93/3,161.76
  6. Step 6: Final answer
    x = 1,968.80

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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.