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Finding the Fourth Proportional to 9,739, 13,439.82 and 5,323

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Solution

The fourth proportional to 9,739, 13,439.82 and 5,323 is: 7,345.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739 : 13,439.82 = 5,323 : x
  2. Step 2: Convert to fraction form
    9,739/13,439.82 = 5,323/x
  3. Step 3: Cross multiply
    9,739x = 13,439.82 × 5,323
  4. Step 4: Simplify right side
    9,739x = 71,540,161.86
  5. Step 5: Solve for x
    x = 71,540,161.86/9,739
  6. Step 6: Final answer
    x = 7,345.74

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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.