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Finding the Fourth Proportional to 13,963, 19,268.97 and 7,675.42

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Solution

The fourth proportional to 13,963, 19,268.97 and 7,675.42 is: 10,592.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,963 : 19,268.97 = 7,675.42 : x
  2. Step 2: Convert to fraction form
    13,963/19,268.97 = 7,675.42/x
  3. Step 3: Cross multiply
    13,963x = 19,268.97 × 7,675.42
  4. Step 4: Simplify right side
    13,963x = 147,897,437.72
  5. Step 5: Solve for x
    x = 147,897,437.72/13,963
  6. Step 6: Final answer
    x = 10,592.10

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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.