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Finding the Fourth Proportional to 13,978.28, 19,291.20 and 7,691.84

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Solution

The fourth proportional to 13,978.28, 19,291.20 and 7,691.84 is: 10,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,978.28 : 19,291.20 = 7,691.84 : x
  2. Step 2: Convert to fraction form
    13,978.28/19,291.20 = 7,691.84/x
  3. Step 3: Cross multiply
    13,978.28x = 19,291.20 × 7,691.84
  4. Step 4: Simplify right side
    13,978.28x = 148,384,823.81
  5. Step 5: Solve for x
    x = 148,384,823.81/13,978.28
  6. Step 6: Final answer
    x = 10,615.38

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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.