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Finding the Fourth Proportional to 12,793.68, 17,658 and 8,599.50

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Solution

The fourth proportional to 12,793.68, 17,658 and 8,599.50 is: 11,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.68 : 17,658 = 8,599.50 : x
  2. Step 2: Convert to fraction form
    12,793.68/17,658 = 8,599.50/x
  3. Step 3: Cross multiply
    12,793.68x = 17,658 × 8,599.50
  4. Step 4: Simplify right side
    12,793.68x = 151,849,971
  5. Step 5: Solve for x
    x = 151,849,971/12,793.68
  6. Step 6: Final answer
    x = 11,869.14

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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.