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Finding the Fourth Proportional to 12,359, 18,538.60 and 3,125

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Solution

The fourth proportional to 12,359, 18,538.60 and 3,125 is: 4,687.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,359 : 18,538.60 = 3,125 : x
  2. Step 2: Convert to fraction form
    12,359/18,538.60 = 3,125/x
  3. Step 3: Cross multiply
    12,359x = 18,538.60 × 3,125
  4. Step 4: Simplify right side
    12,359x = 57,933,125.00
  5. Step 5: Solve for x
    x = 57,933,125.00/12,359
  6. Step 6: Final answer
    x = 4,687.53

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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.