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Finding the Fourth Proportional to 13,178.70, 19,768.05 and 4,855.95

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Solution

The fourth proportional to 13,178.70, 19,768.05 and 4,855.95 is: 7,283.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.70 : 19,768.05 = 4,855.95 : x
  2. Step 2: Convert to fraction form
    13,178.70/19,768.05 = 4,855.95/x
  3. Step 3: Cross multiply
    13,178.70x = 19,768.05 × 4,855.95
  4. Step 4: Simplify right side
    13,178.70x = 95,992,662.40
  5. Step 5: Solve for x
    x = 95,992,662.40/13,178.70
  6. Step 6: Final answer
    x = 7,283.93

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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.