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Finding the Fourth Proportional to 28,542.42, 42,817.95 and 9,826.74

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Solution

The fourth proportional to 28,542.42, 42,817.95 and 9,826.74 is: 14,741.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,542.42 : 42,817.95 = 9,826.74 : x
  2. Step 2: Convert to fraction form
    28,542.42/42,817.95 = 9,826.74/x
  3. Step 3: Cross multiply
    28,542.42x = 42,817.95 × 9,826.74
  4. Step 4: Simplify right side
    28,542.42x = 420,760,861.98
  5. Step 5: Solve for x
    x = 420,760,861.98/28,542.42
  6. Step 6: Final answer
    x = 14,741.60

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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.