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Finding the Fourth Proportional to 31,820.16, 43,913.16 and 17,674.32

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Solution

The fourth proportional to 31,820.16, 43,913.16 and 17,674.32 is: 24,391.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,820.16 : 43,913.16 = 17,674.32 : x
  2. Step 2: Convert to fraction form
    31,820.16/43,913.16 = 17,674.32/x
  3. Step 3: Cross multiply
    31,820.16x = 43,913.16 × 17,674.32
  4. Step 4: Simplify right side
    31,820.16x = 776,135,242.05
  5. Step 5: Solve for x
    x = 776,135,242.05/31,820.16
  6. Step 6: Final answer
    x = 24,391.31

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