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Finding the Fourth Proportional to 31,634, 43,655.64 and 20,475.44

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Solution

The fourth proportional to 31,634, 43,655.64 and 20,475.44 is: 28,256.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,634 : 43,655.64 = 20,475.44 : x
  2. Step 2: Convert to fraction form
    31,634/43,655.64 = 20,475.44/x
  3. Step 3: Cross multiply
    31,634x = 43,655.64 × 20,475.44
  4. Step 4: Simplify right side
    31,634x = 893,868,437.48
  5. Step 5: Solve for x
    x = 893,868,437.48/31,634
  6. Step 6: Final answer
    x = 28,256.57

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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.