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Finding the Fourth Proportional to 32,440.40, 48,676.80 and 18,411.20

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Solution

The fourth proportional to 32,440.40, 48,676.80 and 18,411.20 is: 27,625.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,440.40 : 48,676.80 = 18,411.20 : x
  2. Step 2: Convert to fraction form
    32,440.40/48,676.80 = 18,411.20/x
  3. Step 3: Cross multiply
    32,440.40x = 48,676.80 × 18,411.20
  4. Step 4: Simplify right side
    32,440.40x = 896,198,300.16
  5. Step 5: Solve for x
    x = 896,198,300.16/32,440.40
  6. Step 6: Final answer
    x = 27,625.99

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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.