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Finding the Fourth Proportional to 13,154.82, 19,738 and 6,913.38

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Solution

The fourth proportional to 13,154.82, 19,738 and 6,913.38 is: 10,373.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,154.82 : 19,738 = 6,913.38 : x
  2. Step 2: Convert to fraction form
    13,154.82/19,738 = 6,913.38/x
  3. Step 3: Cross multiply
    13,154.82x = 19,738 × 6,913.38
  4. Step 4: Simplify right side
    13,154.82x = 136,456,294.44
  5. Step 5: Solve for x
    x = 136,456,294.44/13,154.82
  6. Step 6: Final answer
    x = 10,373.10

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1.5x scale

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.