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Finding the Fourth Proportional to 31,187.40, 46,796.90 and 13,657.40

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Solution

The fourth proportional to 31,187.40, 46,796.90 and 13,657.40 is: 20,493.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,187.40 : 46,796.90 = 13,657.40 : x
  2. Step 2: Convert to fraction form
    31,187.40/46,796.90 = 13,657.40/x
  3. Step 3: Cross multiply
    31,187.40x = 46,796.90 × 13,657.40
  4. Step 4: Simplify right side
    31,187.40x = 639,123,982.06
  5. Step 5: Solve for x
    x = 639,123,982.06/31,187.40
  6. Step 6: Final answer
    x = 20,493.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.