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Finding the Fourth Proportional to 28,097.48, 42,146.22 and 8,389.88

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Solution

The fourth proportional to 28,097.48, 42,146.22 and 8,389.88 is: 12,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,097.48 : 42,146.22 = 8,389.88 : x
  2. Step 2: Convert to fraction form
    28,097.48/42,146.22 = 8,389.88/x
  3. Step 3: Cross multiply
    28,097.48x = 42,146.22 × 8,389.88
  4. Step 4: Simplify right side
    28,097.48x = 353,601,707.03
  5. Step 5: Solve for x
    x = 353,601,707.03/28,097.48
  6. Step 6: Final answer
    x = 12,584.82

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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.