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Finding the Fourth Proportional to 13,830.88, 19,086.48 and 7,542.88

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Solution

The fourth proportional to 13,830.88, 19,086.48 and 7,542.88 is: 10,409.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.88 : 19,086.48 = 7,542.88 : x
  2. Step 2: Convert to fraction form
    13,830.88/19,086.48 = 7,542.88/x
  3. Step 3: Cross multiply
    13,830.88x = 19,086.48 × 7,542.88
  4. Step 4: Simplify right side
    13,830.88x = 143,967,028.26
  5. Step 5: Solve for x
    x = 143,967,028.26/13,830.88
  6. Step 6: Final answer
    x = 10,409.10

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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.