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Finding the Fourth Proportional to 19,745, 27,248.10 and 10,913

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Solution

The fourth proportional to 19,745, 27,248.10 and 10,913 is: 15,059.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,745 : 27,248.10 = 10,913 : x
  2. Step 2: Convert to fraction form
    19,745/27,248.10 = 10,913/x
  3. Step 3: Cross multiply
    19,745x = 27,248.10 × 10,913
  4. Step 4: Simplify right side
    19,745x = 297,358,515.30
  5. Step 5: Solve for x
    x = 297,358,515.30/19,745
  6. Step 6: Final answer
    x = 15,059.94

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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.