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Finding the Fourth Proportional to 13,504.53, 18,638.99 and 7,840.52

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Solution

The fourth proportional to 13,504.53, 18,638.99 and 7,840.52 is: 10,821.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.53 : 18,638.99 = 7,840.52 : x
  2. Step 2: Convert to fraction form
    13,504.53/18,638.99 = 7,840.52/x
  3. Step 3: Cross multiply
    13,504.53x = 18,638.99 × 7,840.52
  4. Step 4: Simplify right side
    13,504.53x = 146,139,373.87
  5. Step 5: Solve for x
    x = 146,139,373.87/13,504.53
  6. Step 6: Final answer
    x = 10,821.51

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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.