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Finding the Fourth Proportional to 5,178.09, 7,766.98 and 1,668.09

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Solution

The fourth proportional to 5,178.09, 7,766.98 and 1,668.09 is: 2,502.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.09 : 7,766.98 = 1,668.09 : x
  2. Step 2: Convert to fraction form
    5,178.09/7,766.98 = 1,668.09/x
  3. Step 3: Cross multiply
    5,178.09x = 7,766.98 × 1,668.09
  4. Step 4: Simplify right side
    5,178.09x = 12,956,021.67
  5. Step 5: Solve for x
    x = 12,956,021.67/5,178.09
  6. Step 6: Final answer
    x = 2,502.09

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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.