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Finding the Fourth Proportional to 13,940, 19,237.21 and 7,652.78

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Solution

The fourth proportional to 13,940, 19,237.21 and 7,652.78 is: 10,560.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,940 : 19,237.21 = 7,652.78 : x
  2. Step 2: Convert to fraction form
    13,940/19,237.21 = 7,652.78/x
  3. Step 3: Cross multiply
    13,940x = 19,237.21 × 7,652.78
  4. Step 4: Simplify right side
    13,940x = 147,218,135.94
  5. Step 5: Solve for x
    x = 147,218,135.94/13,940
  6. Step 6: Final answer
    x = 10,560.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.