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Finding the Fourth Proportional to 13,642.72, 18,822.24 and 7,673.44

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Solution

The fourth proportional to 13,642.72, 18,822.24 and 7,673.44 is: 10,586.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.72 : 18,822.24 = 7,673.44 : x
  2. Step 2: Convert to fraction form
    13,642.72/18,822.24 = 7,673.44/x
  3. Step 3: Cross multiply
    13,642.72x = 18,822.24 × 7,673.44
  4. Step 4: Simplify right side
    13,642.72x = 144,431,329.31
  5. Step 5: Solve for x
    x = 144,431,329.31/13,642.72
  6. Step 6: Final answer
    x = 10,586.70

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1.5x scale

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.