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Finding the Fourth Proportional to 9,193.80, 13,790.70 and 5,913.30

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Solution

The fourth proportional to 9,193.80, 13,790.70 and 5,913.30 is: 8,869.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.80 : 13,790.70 = 5,913.30 : x
  2. Step 2: Convert to fraction form
    9,193.80/13,790.70 = 5,913.30/x
  3. Step 3: Cross multiply
    9,193.80x = 13,790.70 × 5,913.30
  4. Step 4: Simplify right side
    9,193.80x = 81,548,546.31
  5. Step 5: Solve for x
    x = 81,548,546.31/9,193.80
  6. Step 6: Final answer
    x = 8,869.95

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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.