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Finding the Fourth Proportional to 31,854, 43,956.44 and 17,706.32

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Solution

The fourth proportional to 31,854, 43,956.44 and 17,706.32 is: 24,433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,854 : 43,956.44 = 17,706.32 : x
  2. Step 2: Convert to fraction form
    31,854/43,956.44 = 17,706.32/x
  3. Step 3: Cross multiply
    31,854x = 43,956.44 × 17,706.32
  4. Step 4: Simplify right side
    31,854x = 778,306,792.70
  5. Step 5: Solve for x
    x = 778,306,792.70/31,854
  6. Step 6: Final answer
    x = 24,433.57

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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.