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Finding the Fourth Proportional to 28,538.22, 42,805.51 and 9,827.22

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Solution

The fourth proportional to 28,538.22, 42,805.51 and 9,827.22 is: 14,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,538.22 : 42,805.51 = 9,827.22 : x
  2. Step 2: Convert to fraction form
    28,538.22/42,805.51 = 9,827.22/x
  3. Step 3: Cross multiply
    28,538.22x = 42,805.51 × 9,827.22
  4. Step 4: Simplify right side
    28,538.22x = 420,659,355.21
  5. Step 5: Solve for x
    x = 420,659,355.21/28,538.22
  6. Step 6: Final answer
    x = 14,740.21

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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.