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Finding the Fourth Proportional to 17,720, 26,591.52 and 6,776

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Solution

The fourth proportional to 17,720, 26,591.52 and 6,776 is: 10,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,720 : 26,591.52 = 6,776 : x
  2. Step 2: Convert to fraction form
    17,720/26,591.52 = 6,776/x
  3. Step 3: Cross multiply
    17,720x = 26,591.52 × 6,776
  4. Step 4: Simplify right side
    17,720x = 180,184,139.52
  5. Step 5: Solve for x
    x = 180,184,139.52/17,720
  6. Step 6: Final answer
    x = 10,168.41

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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.