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Finding the Fourth Proportional to 9,718, 13,408.68 and 5,739.28

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Solution

The fourth proportional to 9,718, 13,408.68 and 5,739.28 is: 7,918.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718 : 13,408.68 = 5,739.28 : x
  2. Step 2: Convert to fraction form
    9,718/13,408.68 = 5,739.28/x
  3. Step 3: Cross multiply
    9,718x = 13,408.68 × 5,739.28
  4. Step 4: Simplify right side
    9,718x = 76,956,168.95
  5. Step 5: Solve for x
    x = 76,956,168.95/9,718
  6. Step 6: Final answer
    x = 7,918.93

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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.