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Finding the Fourth Proportional to 12,589.81, 17,374.78 and 8,333.54

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Solution

The fourth proportional to 12,589.81, 17,374.78 and 8,333.54 is: 11,500.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.81 : 17,374.78 = 8,333.54 : x
  2. Step 2: Convert to fraction form
    12,589.81/17,374.78 = 8,333.54/x
  3. Step 3: Cross multiply
    12,589.81x = 17,374.78 × 8,333.54
  4. Step 4: Simplify right side
    12,589.81x = 144,793,424.12
  5. Step 5: Solve for x
    x = 144,793,424.12/12,589.81
  6. Step 6: Final answer
    x = 11,500.84

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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.