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Finding the Fourth Proportional to 34,289, 47,324.88 and 20,141.84

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Solution

The fourth proportional to 34,289, 47,324.88 and 20,141.84 is: 27,799.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,289 : 47,324.88 = 20,141.84 : x
  2. Step 2: Convert to fraction form
    34,289/47,324.88 = 20,141.84/x
  3. Step 3: Cross multiply
    34,289x = 47,324.88 × 20,141.84
  4. Step 4: Simplify right side
    34,289x = 953,210,160.98
  5. Step 5: Solve for x
    x = 953,210,160.98/34,289
  6. Step 6: Final answer
    x = 27,799.30

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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.