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Finding the Fourth Proportional to 28,524.78, 42,751.53 and 13,729.77

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Solution

The fourth proportional to 28,524.78, 42,751.53 and 13,729.77 is: 20,577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,524.78 : 42,751.53 = 13,729.77 : x
  2. Step 2: Convert to fraction form
    28,524.78/42,751.53 = 13,729.77/x
  3. Step 3: Cross multiply
    28,524.78x = 42,751.53 × 13,729.77
  4. Step 4: Simplify right side
    28,524.78x = 586,968,674.05
  5. Step 5: Solve for x
    x = 586,968,674.05/28,524.78
  6. Step 6: Final answer
    x = 20,577.50

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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.