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Finding the Fourth Proportional to 40,841, 61,261.50 and 13,139

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Solution

The fourth proportional to 40,841, 61,261.50 and 13,139 is: 19,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,841 : 61,261.50 = 13,139 : x
  2. Step 2: Convert to fraction form
    40,841/61,261.50 = 13,139/x
  3. Step 3: Cross multiply
    40,841x = 61,261.50 × 13,139
  4. Step 4: Simplify right side
    40,841x = 804,914,848.50
  5. Step 5: Solve for x
    x = 804,914,848.50/40,841
  6. Step 6: Final answer
    x = 19,708.50

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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.