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Finding the Fourth Proportional to 32,408, 48,612 and 10,520

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Solution

The fourth proportional to 32,408, 48,612 and 10,520 is: 15,780

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,408 : 48,612 = 10,520 : x
  2. Step 2: Convert to fraction form
    32,408/48,612 = 10,520/x
  3. Step 3: Cross multiply
    32,408x = 48,612 × 10,520
  4. Step 4: Simplify right side
    32,408x = 511,398,240
  5. Step 5: Solve for x
    x = 511,398,240/32,408
  6. Step 6: Final answer
    x = 15,780

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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.