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Finding the Fourth Proportional to 12,374.80, 18,562.20 and 4,975.45

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Solution

The fourth proportional to 12,374.80, 18,562.20 and 4,975.45 is: 7,463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,374.80 : 18,562.20 = 4,975.45 : x
  2. Step 2: Convert to fraction form
    12,374.80/18,562.20 = 4,975.45/x
  3. Step 3: Cross multiply
    12,374.80x = 18,562.20 × 4,975.45
  4. Step 4: Simplify right side
    12,374.80x = 92,355,297.99
  5. Step 5: Solve for x
    x = 92,355,297.99/12,374.80
  6. Step 6: Final answer
    x = 7,463.18

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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.