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Finding the Fourth Proportional to 10,641.80, 15,938.84 and 8,283.44

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Solution

The fourth proportional to 10,641.80, 15,938.84 and 8,283.44 is: 12,406.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,641.80 : 15,938.84 = 8,283.44 : x
  2. Step 2: Convert to fraction form
    10,641.80/15,938.84 = 8,283.44/x
  3. Step 3: Cross multiply
    10,641.80x = 15,938.84 × 8,283.44
  4. Step 4: Simplify right side
    10,641.80x = 132,028,424.81
  5. Step 5: Solve for x
    x = 132,028,424.81/10,641.80
  6. Step 6: Final answer
    x = 12,406.59

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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.