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Finding the Fourth Proportional to 13,275, 18,320.58 and 7,687.08

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Solution

The fourth proportional to 13,275, 18,320.58 and 7,687.08 is: 10,608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,275 : 18,320.58 = 7,687.08 : x
  2. Step 2: Convert to fraction form
    13,275/18,320.58 = 7,687.08/x
  3. Step 3: Cross multiply
    13,275x = 18,320.58 × 7,687.08
  4. Step 4: Simplify right side
    13,275x = 140,831,764.11
  5. Step 5: Solve for x
    x = 140,831,764.11/13,275
  6. Step 6: Final answer
    x = 10,608.80

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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.