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Finding the Fourth Proportional to 13,987.28, 19,302 and 7,699.64

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Solution

The fourth proportional to 13,987.28, 19,302 and 7,699.64 is: 10,625.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,987.28 : 19,302 = 7,699.64 : x
  2. Step 2: Convert to fraction form
    13,987.28/19,302 = 7,699.64/x
  3. Step 3: Cross multiply
    13,987.28x = 19,302 × 7,699.64
  4. Step 4: Simplify right side
    13,987.28x = 148,618,451.28
  5. Step 5: Solve for x
    x = 148,618,451.28/13,987.28
  6. Step 6: Final answer
    x = 10,625.26

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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.