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Finding the Fourth Proportional to 12,433, 18,655.98 and 6,277

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Solution

The fourth proportional to 12,433, 18,655.98 and 6,277 is: 9,418.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,433 : 18,655.98 = 6,277 : x
  2. Step 2: Convert to fraction form
    12,433/18,655.98 = 6,277/x
  3. Step 3: Cross multiply
    12,433x = 18,655.98 × 6,277
  4. Step 4: Simplify right side
    12,433x = 117,103,586.46
  5. Step 5: Solve for x
    x = 117,103,586.46/12,433
  6. Step 6: Final answer
    x = 9,418.77

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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.