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Finding the Fourth Proportional to 18,877.96, 28,327.86 and 7,782.58

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Solution

The fourth proportional to 18,877.96, 28,327.86 and 7,782.58 is: 11,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,877.96 : 28,327.86 = 7,782.58 : x
  2. Step 2: Convert to fraction form
    18,877.96/28,327.86 = 7,782.58/x
  3. Step 3: Cross multiply
    18,877.96x = 28,327.86 × 7,782.58
  4. Step 4: Simplify right side
    18,877.96x = 220,463,836.68
  5. Step 5: Solve for x
    x = 220,463,836.68/18,877.96
  6. Step 6: Final answer
    x = 11,678.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.