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Finding the Fourth Proportional to 17,780, 26,670.64 and 6,685.52

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Solution

The fourth proportional to 17,780, 26,670.64 and 6,685.52 is: 10,028.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,780 : 26,670.64 = 6,685.52 : x
  2. Step 2: Convert to fraction form
    17,780/26,670.64 = 6,685.52/x
  3. Step 3: Cross multiply
    17,780x = 26,670.64 × 6,685.52
  4. Step 4: Simplify right side
    17,780x = 178,307,097.13
  5. Step 5: Solve for x
    x = 178,307,097.13/17,780
  6. Step 6: Final answer
    x = 10,028.52

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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.