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Finding the Fourth Proportional to 11,913.30, 17,868.48 and 6,918.42

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Solution

The fourth proportional to 11,913.30, 17,868.48 and 6,918.42 is: 10,376.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.30 : 17,868.48 = 6,918.42 : x
  2. Step 2: Convert to fraction form
    11,913.30/17,868.48 = 6,918.42/x
  3. Step 3: Cross multiply
    11,913.30x = 17,868.48 × 6,918.42
  4. Step 4: Simplify right side
    11,913.30x = 123,621,649.40
  5. Step 5: Solve for x
    x = 123,621,649.40/11,913.30
  6. Step 6: Final answer
    x = 10,376.78

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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.