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Finding the Fourth Proportional to 13,961, 19,266.18 and 7,673.78

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Solution

The fourth proportional to 13,961, 19,266.18 and 7,673.78 is: 10,589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,961 : 19,266.18 = 7,673.78 : x
  2. Step 2: Convert to fraction form
    13,961/19,266.18 = 7,673.78/x
  3. Step 3: Cross multiply
    13,961x = 19,266.18 × 7,673.78
  4. Step 4: Simplify right side
    13,961x = 147,844,426.76
  5. Step 5: Solve for x
    x = 147,844,426.76/13,961
  6. Step 6: Final answer
    x = 10,589.82

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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.