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Finding the Fourth Proportional to 3,012, 4,157.64 and 2,312.16

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Solution

The fourth proportional to 3,012, 4,157.64 and 2,312.16 is: 3,191.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012 : 4,157.64 = 2,312.16 : x
  2. Step 2: Convert to fraction form
    3,012/4,157.64 = 2,312.16/x
  3. Step 3: Cross multiply
    3,012x = 4,157.64 × 2,312.16
  4. Step 4: Simplify right side
    3,012x = 9,613,128.90
  5. Step 5: Solve for x
    x = 9,613,128.90/3,012
  6. Step 6: Final answer
    x = 3,191.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.