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Finding the Fourth Proportional to 31,782, 43,859.16 and 20,604

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Solution

The fourth proportional to 31,782, 43,859.16 and 20,604 is: 28,433.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,782 : 43,859.16 = 20,604 : x
  2. Step 2: Convert to fraction form
    31,782/43,859.16 = 20,604/x
  3. Step 3: Cross multiply
    31,782x = 43,859.16 × 20,604
  4. Step 4: Simplify right side
    31,782x = 903,674,132.64
  5. Step 5: Solve for x
    x = 903,674,132.64/31,782
  6. Step 6: Final answer
    x = 28,433.52

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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.