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Finding the Fourth Proportional to 17,390, 26,085 and 5,078

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Solution

The fourth proportional to 17,390, 26,085 and 5,078 is: 7,617

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,390 : 26,085 = 5,078 : x
  2. Step 2: Convert to fraction form
    17,390/26,085 = 5,078/x
  3. Step 3: Cross multiply
    17,390x = 26,085 × 5,078
  4. Step 4: Simplify right side
    17,390x = 132,459,630
  5. Step 5: Solve for x
    x = 132,459,630/17,390
  6. Step 6: Final answer
    x = 7,617

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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.