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Finding the Fourth Proportional to 42,446, 63,669 and 13,262

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Solution

The fourth proportional to 42,446, 63,669 and 13,262 is: 19,893

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,446 : 63,669 = 13,262 : x
  2. Step 2: Convert to fraction form
    42,446/63,669 = 13,262/x
  3. Step 3: Cross multiply
    42,446x = 63,669 × 13,262
  4. Step 4: Simplify right side
    42,446x = 844,378,278
  5. Step 5: Solve for x
    x = 844,378,278/42,446
  6. Step 6: Final answer
    x = 19,893

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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.