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Finding the Fourth Proportional to 13,072, 18,039.36 and 7,184

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Solution

The fourth proportional to 13,072, 18,039.36 and 7,184 is: 9,913.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,072 : 18,039.36 = 7,184 : x
  2. Step 2: Convert to fraction form
    13,072/18,039.36 = 7,184/x
  3. Step 3: Cross multiply
    13,072x = 18,039.36 × 7,184
  4. Step 4: Simplify right side
    13,072x = 129,594,762.24
  5. Step 5: Solve for x
    x = 129,594,762.24/13,072
  6. Step 6: Final answer
    x = 9,913.92

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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.