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Finding the Fourth Proportional to 3,855.77, 5,783.66 and 934.08

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Solution

The fourth proportional to 3,855.77, 5,783.66 and 934.08 is: 1,401.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.77 : 5,783.66 = 934.08 : x
  2. Step 2: Convert to fraction form
    3,855.77/5,783.66 = 934.08/x
  3. Step 3: Cross multiply
    3,855.77x = 5,783.66 × 934.08
  4. Step 4: Simplify right side
    3,855.77x = 5,402,401.13
  5. Step 5: Solve for x
    x = 5,402,401.13/3,855.77
  6. Step 6: Final answer
    x = 1,401.12

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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.