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Finding the Fourth Proportional to 13,952.85, 19,255.07 and 7,579.50

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Solution

The fourth proportional to 13,952.85, 19,255.07 and 7,579.50 is: 10,459.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.85 : 19,255.07 = 7,579.50 : x
  2. Step 2: Convert to fraction form
    13,952.85/19,255.07 = 7,579.50/x
  3. Step 3: Cross multiply
    13,952.85x = 19,255.07 × 7,579.50
  4. Step 4: Simplify right side
    13,952.85x = 145,943,765.17
  5. Step 5: Solve for x
    x = 145,943,765.17/13,952.85
  6. Step 6: Final answer
    x = 10,459.78

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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.