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Finding the Fourth Proportional to 12,435.74, 18,654.63 and 5,415.98

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Solution

The fourth proportional to 12,435.74, 18,654.63 and 5,415.98 is: 8,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,435.74 : 18,654.63 = 5,415.98 : x
  2. Step 2: Convert to fraction form
    12,435.74/18,654.63 = 5,415.98/x
  3. Step 3: Cross multiply
    12,435.74x = 18,654.63 × 5,415.98
  4. Step 4: Simplify right side
    12,435.74x = 101,033,075.91
  5. Step 5: Solve for x
    x = 101,033,075.91/12,435.74
  6. Step 6: Final answer
    x = 8,124.42

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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.