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Finding the Fourth Proportional to 9,718, 13,412.68 and 6,185.32

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Solution

The fourth proportional to 9,718, 13,412.68 and 6,185.32 is: 8,536.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718 : 13,412.68 = 6,185.32 : x
  2. Step 2: Convert to fraction form
    9,718/13,412.68 = 6,185.32/x
  3. Step 3: Cross multiply
    9,718x = 13,412.68 × 6,185.32
  4. Step 4: Simplify right side
    9,718x = 82,961,717.86
  5. Step 5: Solve for x
    x = 82,961,717.86/9,718
  6. Step 6: Final answer
    x = 8,536.91

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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.