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Finding the Fourth Proportional to 8,990.73, 12,405.65 and 5,214.24

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Solution

The fourth proportional to 8,990.73, 12,405.65 and 5,214.24 is: 7,194.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,990.73 : 12,405.65 = 5,214.24 : x
  2. Step 2: Convert to fraction form
    8,990.73/12,405.65 = 5,214.24/x
  3. Step 3: Cross multiply
    8,990.73x = 12,405.65 × 5,214.24
  4. Step 4: Simplify right side
    8,990.73x = 64,686,010.38
  5. Step 5: Solve for x
    x = 64,686,010.38/8,990.73
  6. Step 6: Final answer
    x = 7,194.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.