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Finding the Fourth Proportional to 12,806, 19,217.70 and 4,598

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Solution

The fourth proportional to 12,806, 19,217.70 and 4,598 is: 6,900.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806 : 19,217.70 = 4,598 : x
  2. Step 2: Convert to fraction form
    12,806/19,217.70 = 4,598/x
  3. Step 3: Cross multiply
    12,806x = 19,217.70 × 4,598
  4. Step 4: Simplify right side
    12,806x = 88,362,984.60
  5. Step 5: Solve for x
    x = 88,362,984.60/12,806
  6. Step 6: Final answer
    x = 6,900.12

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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.