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Finding the Fourth Proportional to 7,313, 10,969.50 and 2,118.92

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Solution

The fourth proportional to 7,313, 10,969.50 and 2,118.92 is: 3,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,313 : 10,969.50 = 2,118.92 : x
  2. Step 2: Convert to fraction form
    7,313/10,969.50 = 2,118.92/x
  3. Step 3: Cross multiply
    7,313x = 10,969.50 × 2,118.92
  4. Step 4: Simplify right side
    7,313x = 23,243,492.94
  5. Step 5: Solve for x
    x = 23,243,492.94/7,313
  6. Step 6: Final answer
    x = 3,178.38

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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.