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Finding the Fourth Proportional to 9,719, 13,411.48 and 5,739.34

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Solution

The fourth proportional to 9,719, 13,411.48 and 5,739.34 is: 7,919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719 : 13,411.48 = 5,739.34 : x
  2. Step 2: Convert to fraction form
    9,719/13,411.48 = 5,739.34/x
  3. Step 3: Cross multiply
    9,719x = 13,411.48 × 5,739.34
  4. Step 4: Simplify right side
    9,719x = 76,973,043.62
  5. Step 5: Solve for x
    x = 76,973,043.62/9,719
  6. Step 6: Final answer
    x = 7,919.85

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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.