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Finding the Fourth Proportional to 13,674.63, 18,870.99 and 7,387

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Solution

The fourth proportional to 13,674.63, 18,870.99 and 7,387 is: 10,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.63 : 18,870.99 = 7,387 : x
  2. Step 2: Convert to fraction form
    13,674.63/18,870.99 = 7,387/x
  3. Step 3: Cross multiply
    13,674.63x = 18,870.99 × 7,387
  4. Step 4: Simplify right side
    13,674.63x = 139,400,003.13
  5. Step 5: Solve for x
    x = 139,400,003.13/13,674.63
  6. Step 6: Final answer
    x = 10,194.06

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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.