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Finding the Fourth Proportional to 51,794.56, 77,699.52 and 18,960

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Solution

The fourth proportional to 51,794.56, 77,699.52 and 18,960 is: 28,442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,794.56 : 77,699.52 = 18,960 : x
  2. Step 2: Convert to fraction form
    51,794.56/77,699.52 = 18,960/x
  3. Step 3: Cross multiply
    51,794.56x = 77,699.52 × 18,960
  4. Step 4: Simplify right side
    51,794.56x = 1,473,182,899.20
  5. Step 5: Solve for x
    x = 1,473,182,899.20/51,794.56
  6. Step 6: Final answer
    x = 28,442.81

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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.