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Finding the Fourth Proportional to 11,497.32, 15,861.75 and 7,019.44

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Solution

The fourth proportional to 11,497.32, 15,861.75 and 7,019.44 is: 9,684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,497.32 : 15,861.75 = 7,019.44 : x
  2. Step 2: Convert to fraction form
    11,497.32/15,861.75 = 7,019.44/x
  3. Step 3: Cross multiply
    11,497.32x = 15,861.75 × 7,019.44
  4. Step 4: Simplify right side
    11,497.32x = 111,340,602.42
  5. Step 5: Solve for x
    x = 111,340,602.42/11,497.32
  6. Step 6: Final answer
    x = 9,684.05

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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.