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Finding the Fourth Proportional to 17,851.46, 26,764.83 and 7,851.40

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Solution

The fourth proportional to 17,851.46, 26,764.83 and 7,851.40 is: 11,771.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,851.46 : 26,764.83 = 7,851.40 : x
  2. Step 2: Convert to fraction form
    17,851.46/26,764.83 = 7,851.40/x
  3. Step 3: Cross multiply
    17,851.46x = 26,764.83 × 7,851.40
  4. Step 4: Simplify right side
    17,851.46x = 210,141,319.35
  5. Step 5: Solve for x
    x = 210,141,319.35/17,851.46
  6. Step 6: Final answer
    x = 11,771.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.