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Finding the Fourth Proportional to 3,855.85, 5,783.76 and 934.15

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Solution

The fourth proportional to 3,855.85, 5,783.76 and 934.15 is: 1,401.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.85 : 5,783.76 = 934.15 : x
  2. Step 2: Convert to fraction form
    3,855.85/5,783.76 = 934.15/x
  3. Step 3: Cross multiply
    3,855.85x = 5,783.76 × 934.15
  4. Step 4: Simplify right side
    3,855.85x = 5,402,899.40
  5. Step 5: Solve for x
    x = 5,402,899.40/3,855.85
  6. Step 6: Final answer
    x = 1,401.22

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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.