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Finding the Fourth Proportional to 2,536, 3,804.64 and 712

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Solution

The fourth proportional to 2,536, 3,804.64 and 712 is: 1,068.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,536 : 3,804.64 = 712 : x
  2. Step 2: Convert to fraction form
    2,536/3,804.64 = 712/x
  3. Step 3: Cross multiply
    2,536x = 3,804.64 × 712
  4. Step 4: Simplify right side
    2,536x = 2,708,903.68
  5. Step 5: Solve for x
    x = 2,708,903.68/2,536
  6. Step 6: Final answer
    x = 1,068.18

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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.