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Finding the Fourth Proportional to 42,408, 63,612 and 13,224

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Solution

The fourth proportional to 42,408, 63,612 and 13,224 is: 19,836

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,408 : 63,612 = 13,224 : x
  2. Step 2: Convert to fraction form
    42,408/63,612 = 13,224/x
  3. Step 3: Cross multiply
    42,408x = 63,612 × 13,224
  4. Step 4: Simplify right side
    42,408x = 841,205,088
  5. Step 5: Solve for x
    x = 841,205,088/42,408
  6. Step 6: Final answer
    x = 19,836

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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.