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Finding the Fourth Proportional to 13,959, 20,938.50 and 3,570.75

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Solution

The fourth proportional to 13,959, 20,938.50 and 3,570.75 is: 5,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,959 : 20,938.50 = 3,570.75 : x
  2. Step 2: Convert to fraction form
    13,959/20,938.50 = 3,570.75/x
  3. Step 3: Cross multiply
    13,959x = 20,938.50 × 3,570.75
  4. Step 4: Simplify right side
    13,959x = 74,766,148.88
  5. Step 5: Solve for x
    x = 74,766,148.88/13,959
  6. Step 6: Final answer
    x = 5,356.13

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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.