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Finding the Fourth Proportional to 9,719.65, 13,422 and 6,184

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Solution

The fourth proportional to 9,719.65, 13,422 and 6,184 is: 8,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,719.65 : 13,422 = 6,184 : x
  2. Step 2: Convert to fraction form
    9,719.65/13,422 = 6,184/x
  3. Step 3: Cross multiply
    9,719.65x = 13,422 × 6,184
  4. Step 4: Simplify right side
    9,719.65x = 83,001,648
  5. Step 5: Solve for x
    x = 83,001,648/9,719.65
  6. Step 6: Final answer
    x = 8,539.57

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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.