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Finding the Fourth Proportional to 25,886.28, 38,830.29 and 7,164.75

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Solution

The fourth proportional to 25,886.28, 38,830.29 and 7,164.75 is: 10,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,886.28 : 38,830.29 = 7,164.75 : x
  2. Step 2: Convert to fraction form
    25,886.28/38,830.29 = 7,164.75/x
  3. Step 3: Cross multiply
    25,886.28x = 38,830.29 × 7,164.75
  4. Step 4: Simplify right side
    25,886.28x = 278,209,320.28
  5. Step 5: Solve for x
    x = 278,209,320.28/25,886.28
  6. Step 6: Final answer
    x = 10,747.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.