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Finding the Fourth Proportional to 11,605.36, 17,407.80 and 4,678

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Solution

The fourth proportional to 11,605.36, 17,407.80 and 4,678 is: 7,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.36 : 17,407.80 = 4,678 : x
  2. Step 2: Convert to fraction form
    11,605.36/17,407.80 = 4,678/x
  3. Step 3: Cross multiply
    11,605.36x = 17,407.80 × 4,678
  4. Step 4: Simplify right side
    11,605.36x = 81,433,688.40
  5. Step 5: Solve for x
    x = 81,433,688.40/11,605.36
  6. Step 6: Final answer
    x = 7,016.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.