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Finding the Fourth Proportional to 13,119.53, 19,679.13 and 7,856.00

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Solution

The fourth proportional to 13,119.53, 19,679.13 and 7,856.00 is: 11,783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,119.53 : 19,679.13 = 7,856.00 : x
  2. Step 2: Convert to fraction form
    13,119.53/19,679.13 = 7,856.00/x
  3. Step 3: Cross multiply
    13,119.53x = 19,679.13 × 7,856.00
  4. Step 4: Simplify right side
    13,119.53x = 154,599,146.88
  5. Step 5: Solve for x
    x = 154,599,146.88/13,119.53
  6. Step 6: Final answer
    x = 11,783.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.