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Finding the Fourth Proportional to 31,299.52, 43,212 and 27,800.32

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Solution

The fourth proportional to 31,299.52, 43,212 and 27,800.32 is: 38,381.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,299.52 : 43,212 = 27,800.32 : x
  2. Step 2: Convert to fraction form
    31,299.52/43,212 = 27,800.32/x
  3. Step 3: Cross multiply
    31,299.52x = 43,212 × 27,800.32
  4. Step 4: Simplify right side
    31,299.52x = 1,201,307,427.84
  5. Step 5: Solve for x
    x = 1,201,307,427.84/31,299.52
  6. Step 6: Final answer
    x = 38,381.02

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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.