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Finding the Fourth Proportional to 27,860.80, 38,448 and 15,285.76

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Solution

The fourth proportional to 27,860.80, 38,448 and 15,285.76 is: 21,094.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,860.80 : 38,448 = 15,285.76 : x
  2. Step 2: Convert to fraction form
    27,860.80/38,448 = 15,285.76/x
  3. Step 3: Cross multiply
    27,860.80x = 38,448 × 15,285.76
  4. Step 4: Simplify right side
    27,860.80x = 587,706,900.48
  5. Step 5: Solve for x
    x = 587,706,900.48/27,860.80
  6. Step 6: Final answer
    x = 21,094.40

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