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Finding the Fourth Proportional to 10,243, 15,364.86 and 5,858.44

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Solution

The fourth proportional to 10,243, 15,364.86 and 5,858.44 is: 8,787.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243 : 15,364.86 = 5,858.44 : x
  2. Step 2: Convert to fraction form
    10,243/15,364.86 = 5,858.44/x
  3. Step 3: Cross multiply
    10,243x = 15,364.86 × 5,858.44
  4. Step 4: Simplify right side
    10,243x = 90,014,110.42
  5. Step 5: Solve for x
    x = 90,014,110.42/10,243
  6. Step 6: Final answer
    x = 8,787.87

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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.