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Finding the Fourth Proportional to 57,282.24, 85,938.24 and 17,840

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Solution

The fourth proportional to 57,282.24, 85,938.24 and 17,840 is: 26,764.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,282.24 : 85,938.24 = 17,840 : x
  2. Step 2: Convert to fraction form
    57,282.24/85,938.24 = 17,840/x
  3. Step 3: Cross multiply
    57,282.24x = 85,938.24 × 17,840
  4. Step 4: Simplify right side
    57,282.24x = 1,533,138,201.60
  5. Step 5: Solve for x
    x = 1,533,138,201.60/57,282.24
  6. Step 6: Final answer
    x = 26,764.63

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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.