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Finding the Fourth Proportional to 43,082, 64,623 and 13,898

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Solution

The fourth proportional to 43,082, 64,623 and 13,898 is: 20,847

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,082 : 64,623 = 13,898 : x
  2. Step 2: Convert to fraction form
    43,082/64,623 = 13,898/x
  3. Step 3: Cross multiply
    43,082x = 64,623 × 13,898
  4. Step 4: Simplify right side
    43,082x = 898,130,454
  5. Step 5: Solve for x
    x = 898,130,454/43,082
  6. Step 6: Final answer
    x = 20,847

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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.