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Finding the Fourth Proportional to 28,700.56, 43,050.78 and 7,924

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Solution

The fourth proportional to 28,700.56, 43,050.78 and 7,924 is: 11,885.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,700.56 : 43,050.78 = 7,924 : x
  2. Step 2: Convert to fraction form
    28,700.56/43,050.78 = 7,924/x
  3. Step 3: Cross multiply
    28,700.56x = 43,050.78 × 7,924
  4. Step 4: Simplify right side
    28,700.56x = 341,134,380.72
  5. Step 5: Solve for x
    x = 341,134,380.72/28,700.56
  6. Step 6: Final answer
    x = 11,885.98

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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.