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Finding the Fourth Proportional to 10,419, 15,628.50 and 3,123

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Solution

The fourth proportional to 10,419, 15,628.50 and 3,123 is: 4,684.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419 : 15,628.50 = 3,123 : x
  2. Step 2: Convert to fraction form
    10,419/15,628.50 = 3,123/x
  3. Step 3: Cross multiply
    10,419x = 15,628.50 × 3,123
  4. Step 4: Simplify right side
    10,419x = 48,807,805.50
  5. Step 5: Solve for x
    x = 48,807,805.50/10,419
  6. Step 6: Final answer
    x = 4,684.50

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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.