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Finding the Fourth Proportional to 42,564, 63,846 and 13,380

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Solution

The fourth proportional to 42,564, 63,846 and 13,380 is: 20,070

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,564 : 63,846 = 13,380 : x
  2. Step 2: Convert to fraction form
    42,564/63,846 = 13,380/x
  3. Step 3: Cross multiply
    42,564x = 63,846 × 13,380
  4. Step 4: Simplify right side
    42,564x = 854,259,480
  5. Step 5: Solve for x
    x = 854,259,480/42,564
  6. Step 6: Final answer
    x = 20,070

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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.