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Finding the Fourth Proportional to 8,411.80, 12,620.51 and 3,731.16

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Solution

The fourth proportional to 8,411.80, 12,620.51 and 3,731.16 is: 5,597.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.80 : 12,620.51 = 3,731.16 : x
  2. Step 2: Convert to fraction form
    8,411.80/12,620.51 = 3,731.16/x
  3. Step 3: Cross multiply
    8,411.80x = 12,620.51 × 3,731.16
  4. Step 4: Simplify right side
    8,411.80x = 47,089,184.75
  5. Step 5: Solve for x
    x = 47,089,184.75/8,411.80
  6. Step 6: Final answer
    x = 5,597.99

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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.