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Finding the Fourth Proportional to 8,509, 11,742.54 and 5,197

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Solution

The fourth proportional to 8,509, 11,742.54 and 5,197 is: 7,171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509 : 11,742.54 = 5,197 : x
  2. Step 2: Convert to fraction form
    8,509/11,742.54 = 5,197/x
  3. Step 3: Cross multiply
    8,509x = 11,742.54 × 5,197
  4. Step 4: Simplify right side
    8,509x = 61,025,980.38
  5. Step 5: Solve for x
    x = 61,025,980.38/8,509
  6. Step 6: Final answer
    x = 7,171.93

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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.