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Finding the Fourth Proportional to 31,420.95, 43,381.22 and 20,824.95

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Solution

The fourth proportional to 31,420.95, 43,381.22 and 20,824.95 is: 28,751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,420.95 : 43,381.22 = 20,824.95 : x
  2. Step 2: Convert to fraction form
    31,420.95/43,381.22 = 20,824.95/x
  3. Step 3: Cross multiply
    31,420.95x = 43,381.22 × 20,824.95
  4. Step 4: Simplify right side
    31,420.95x = 903,411,633.31
  5. Step 5: Solve for x
    x = 903,411,633.31/31,420.95
  6. Step 6: Final answer
    x = 28,751.89

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1.5x scale

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.