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Finding the Fourth Proportional to 12,953.10, 19,400.49 and 7,748.10

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Solution

The fourth proportional to 12,953.10, 19,400.49 and 7,748.10 is: 11,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.10 : 19,400.49 = 7,748.10 : x
  2. Step 2: Convert to fraction form
    12,953.10/19,400.49 = 7,748.10/x
  3. Step 3: Cross multiply
    12,953.10x = 19,400.49 × 7,748.10
  4. Step 4: Simplify right side
    12,953.10x = 150,316,936.57
  5. Step 5: Solve for x
    x = 150,316,936.57/12,953.10
  6. Step 6: Final answer
    x = 11,604.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.