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Finding the Fourth Proportional to 43,081, 64,621.50 and 13,897

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Solution

The fourth proportional to 43,081, 64,621.50 and 13,897 is: 20,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,081 : 64,621.50 = 13,897 : x
  2. Step 2: Convert to fraction form
    43,081/64,621.50 = 13,897/x
  3. Step 3: Cross multiply
    43,081x = 64,621.50 × 13,897
  4. Step 4: Simplify right side
    43,081x = 898,044,985.50
  5. Step 5: Solve for x
    x = 898,044,985.50/43,081
  6. Step 6: Final answer
    x = 20,845.50

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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.