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Finding the Fourth Proportional to 42,624, 63,936 and 13,440

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Solution

The fourth proportional to 42,624, 63,936 and 13,440 is: 20,160

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,624 : 63,936 = 13,440 : x
  2. Step 2: Convert to fraction form
    42,624/63,936 = 13,440/x
  3. Step 3: Cross multiply
    42,624x = 63,936 × 13,440
  4. Step 4: Simplify right side
    42,624x = 859,299,840
  5. Step 5: Solve for x
    x = 859,299,840/42,624
  6. Step 6: Final answer
    x = 20,160

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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.