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Finding the Fourth Proportional to 19,719, 29,591.46 and 9,331.56

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Solution

The fourth proportional to 19,719, 29,591.46 and 9,331.56 is: 14,003.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,719 : 29,591.46 = 9,331.56 : x
  2. Step 2: Convert to fraction form
    19,719/29,591.46 = 9,331.56/x
  3. Step 3: Cross multiply
    19,719x = 29,591.46 × 9,331.56
  4. Step 4: Simplify right side
    19,719x = 276,134,484.48
  5. Step 5: Solve for x
    x = 276,134,484.48/19,719
  6. Step 6: Final answer
    x = 14,003.47

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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.