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Finding the Fourth Proportional to 13,975, 19,285.56 and 7,687.84

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Solution

The fourth proportional to 13,975, 19,285.56 and 7,687.84 is: 10,609.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,975 : 19,285.56 = 7,687.84 : x
  2. Step 2: Convert to fraction form
    13,975/19,285.56 = 7,687.84/x
  3. Step 3: Cross multiply
    13,975x = 19,285.56 × 7,687.84
  4. Step 4: Simplify right side
    13,975x = 148,264,299.59
  5. Step 5: Solve for x
    x = 148,264,299.59/13,975
  6. Step 6: Final answer
    x = 10,609.25

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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.