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Finding the Fourth Proportional to 17,122.40, 25,688.40 and 8,357.60

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Solution

The fourth proportional to 17,122.40, 25,688.40 and 8,357.60 is: 12,538.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,122.40 : 25,688.40 = 8,357.60 : x
  2. Step 2: Convert to fraction form
    17,122.40/25,688.40 = 8,357.60/x
  3. Step 3: Cross multiply
    17,122.40x = 25,688.40 × 8,357.60
  4. Step 4: Simplify right side
    17,122.40x = 214,693,371.84
  5. Step 5: Solve for x
    x = 214,693,371.84/17,122.40
  6. Step 6: Final answer
    x = 12,538.74

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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.