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Finding the Fourth Proportional to 9,193.80, 13,758.30 and 6,277.80

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Solution

The fourth proportional to 9,193.80, 13,758.30 and 6,277.80 is: 9,394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.80 : 13,758.30 = 6,277.80 : x
  2. Step 2: Convert to fraction form
    9,193.80/13,758.30 = 6,277.80/x
  3. Step 3: Cross multiply
    9,193.80x = 13,758.30 × 6,277.80
  4. Step 4: Simplify right side
    9,193.80x = 86,371,855.74
  5. Step 5: Solve for x
    x = 86,371,855.74/9,193.80
  6. Step 6: Final answer
    x = 9,394.58

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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.