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Finding the Fourth Proportional to 13,644.91, 18,824.14 and 7,820.93

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Solution

The fourth proportional to 13,644.91, 18,824.14 and 7,820.93 is: 10,789.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.91 : 18,824.14 = 7,820.93 : x
  2. Step 2: Convert to fraction form
    13,644.91/18,824.14 = 7,820.93/x
  3. Step 3: Cross multiply
    13,644.91x = 18,824.14 × 7,820.93
  4. Step 4: Simplify right side
    13,644.91x = 147,222,281.25
  5. Step 5: Solve for x
    x = 147,222,281.25/13,644.91
  6. Step 6: Final answer
    x = 10,789.54

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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.