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Finding the Fourth Proportional to 5,778.70, 8,668.80 and 1,881.78

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Solution

The fourth proportional to 5,778.70, 8,668.80 and 1,881.78 is: 2,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.70 : 8,668.80 = 1,881.78 : x
  2. Step 2: Convert to fraction form
    5,778.70/8,668.80 = 1,881.78/x
  3. Step 3: Cross multiply
    5,778.70x = 8,668.80 × 1,881.78
  4. Step 4: Simplify right side
    5,778.70x = 16,312,774.46
  5. Step 5: Solve for x
    x = 16,312,774.46/5,778.70
  6. Step 6: Final answer
    x = 2,822.91

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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.