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Finding the Fourth Proportional to 35,907, 53,870.75 and 12,219.74

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Solution

The fourth proportional to 35,907, 53,870.75 and 12,219.74 is: 18,333.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,907 : 53,870.75 = 12,219.74 : x
  2. Step 2: Convert to fraction form
    35,907/53,870.75 = 12,219.74/x
  3. Step 3: Cross multiply
    35,907x = 53,870.75 × 12,219.74
  4. Step 4: Simplify right side
    35,907x = 658,286,228.15
  5. Step 5: Solve for x
    x = 658,286,228.15/35,907
  6. Step 6: Final answer
    x = 18,333.09

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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.