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Finding the Fourth Proportional to 28,561.46, 42,842.19 and 7,788.02

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Solution

The fourth proportional to 28,561.46, 42,842.19 and 7,788.02 is: 11,682.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,561.46 : 42,842.19 = 7,788.02 : x
  2. Step 2: Convert to fraction form
    28,561.46/42,842.19 = 7,788.02/x
  3. Step 3: Cross multiply
    28,561.46x = 42,842.19 × 7,788.02
  4. Step 4: Simplify right side
    28,561.46x = 333,655,832.56
  5. Step 5: Solve for x
    x = 333,655,832.56/28,561.46
  6. Step 6: Final answer
    x = 11,682.03

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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.