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Finding the Fourth Proportional to 12,424.58, 17,142.50 and 8,643.50

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Solution

The fourth proportional to 12,424.58, 17,142.50 and 8,643.50 is: 11,925.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.58 : 17,142.50 = 8,643.50 : x
  2. Step 2: Convert to fraction form
    12,424.58/17,142.50 = 8,643.50/x
  3. Step 3: Cross multiply
    12,424.58x = 17,142.50 × 8,643.50
  4. Step 4: Simplify right side
    12,424.58x = 148,171,198.75
  5. Step 5: Solve for x
    x = 148,171,198.75/12,424.58
  6. Step 6: Final answer
    x = 11,925.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.