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Finding the Fourth Proportional to 27,720, 38,253.96 and 15,145.02

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Solution

The fourth proportional to 27,720, 38,253.96 and 15,145.02 is: 20,900.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720 : 38,253.96 = 15,145.02 : x
  2. Step 2: Convert to fraction form
    27,720/38,253.96 = 15,145.02/x
  3. Step 3: Cross multiply
    27,720x = 38,253.96 × 15,145.02
  4. Step 4: Simplify right side
    27,720x = 579,356,989.28
  5. Step 5: Solve for x
    x = 579,356,989.28/27,720
  6. Step 6: Final answer
    x = 20,900.32

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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.