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Finding the Fourth Proportional to 52,320, 78,480 and 13,408

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Solution

The fourth proportional to 52,320, 78,480 and 13,408 is: 20,112

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,320 : 78,480 = 13,408 : x
  2. Step 2: Convert to fraction form
    52,320/78,480 = 13,408/x
  3. Step 3: Cross multiply
    52,320x = 78,480 × 13,408
  4. Step 4: Simplify right side
    52,320x = 1,052,259,840
  5. Step 5: Solve for x
    x = 1,052,259,840/52,320
  6. Step 6: Final answer
    x = 20,112

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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.