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Finding the Fourth Proportional to 40,831, 61,246.50 and 13,129

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Solution

The fourth proportional to 40,831, 61,246.50 and 13,129 is: 19,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,831 : 61,246.50 = 13,129 : x
  2. Step 2: Convert to fraction form
    40,831/61,246.50 = 13,129/x
  3. Step 3: Cross multiply
    40,831x = 61,246.50 × 13,129
  4. Step 4: Simplify right side
    40,831x = 804,105,298.50
  5. Step 5: Solve for x
    x = 804,105,298.50/40,831
  6. Step 6: Final answer
    x = 19,693.50

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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.