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Finding the Fourth Proportional to 20,179, 27,832.40 and 15,562.72

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Solution

The fourth proportional to 20,179, 27,832.40 and 15,562.72 is: 21,465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,179 : 27,832.40 = 15,562.72 : x
  2. Step 2: Convert to fraction form
    20,179/27,832.40 = 15,562.72/x
  3. Step 3: Cross multiply
    20,179x = 27,832.40 × 15,562.72
  4. Step 4: Simplify right side
    20,179x = 433,147,848.13
  5. Step 5: Solve for x
    x = 433,147,848.13/20,179
  6. Step 6: Final answer
    x = 21,465.28

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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.