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Finding the Fourth Proportional to 3,784.11, 5,670.97 and 1,931.32

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Solution

The fourth proportional to 3,784.11, 5,670.97 and 1,931.32 is: 2,894.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.11 : 5,670.97 = 1,931.32 : x
  2. Step 2: Convert to fraction form
    3,784.11/5,670.97 = 1,931.32/x
  3. Step 3: Cross multiply
    3,784.11x = 5,670.97 × 1,931.32
  4. Step 4: Simplify right side
    3,784.11x = 10,952,457.78
  5. Step 5: Solve for x
    x = 10,952,457.78/3,784.11
  6. Step 6: Final answer
    x = 2,894.33

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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.