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Finding the Fourth Proportional to 13,978.68, 19,277.28 and 9,190.14

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Solution

The fourth proportional to 13,978.68, 19,277.28 and 9,190.14 is: 12,673.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.68 : 19,277.28 = 9,190.14 : x
  2. Step 2: Convert to fraction form
    13,978.68/19,277.28 = 9,190.14/x
  3. Step 3: Cross multiply
    13,978.68x = 19,277.28 × 9,190.14
  4. Step 4: Simplify right side
    13,978.68x = 177,160,902.02
  5. Step 5: Solve for x
    x = 177,160,902.02/13,978.68
  6. Step 6: Final answer
    x = 12,673.65

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1.5x scale

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.