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Finding the Fourth Proportional to 5,780.77, 8,667.20 and 1,830.70

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Solution

The fourth proportional to 5,780.77, 8,667.20 and 1,830.70 is: 2,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.77 : 8,667.20 = 1,830.70 : x
  2. Step 2: Convert to fraction form
    5,780.77/8,667.20 = 1,830.70/x
  3. Step 3: Cross multiply
    5,780.77x = 8,667.20 × 1,830.70
  4. Step 4: Simplify right side
    5,780.77x = 15,867,058.45
  5. Step 5: Solve for x
    x = 15,867,058.45/5,780.77
  6. Step 6: Final answer
    x = 2,744.80

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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.