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Finding the Fourth Proportional to 28,559.52, 42,839.34 and 7,783.02

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Solution

The fourth proportional to 28,559.52, 42,839.34 and 7,783.02 is: 11,674.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,559.52 : 42,839.34 = 7,783.02 : x
  2. Step 2: Convert to fraction form
    28,559.52/42,839.34 = 7,783.02/x
  3. Step 3: Cross multiply
    28,559.52x = 42,839.34 × 7,783.02
  4. Step 4: Simplify right side
    28,559.52x = 333,419,440.01
  5. Step 5: Solve for x
    x = 333,419,440.01/28,559.52
  6. Step 6: Final answer
    x = 11,674.55

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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.