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Finding the Fourth Proportional to 5,742.61, 8,616.05 and 3,911.00

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Solution

The fourth proportional to 5,742.61, 8,616.05 and 3,911.00 is: 5,867.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.61 : 8,616.05 = 3,911.00 : x
  2. Step 2: Convert to fraction form
    5,742.61/8,616.05 = 3,911.00/x
  3. Step 3: Cross multiply
    5,742.61x = 8,616.05 × 3,911.00
  4. Step 4: Simplify right side
    5,742.61x = 33,697,338.25
  5. Step 5: Solve for x
    x = 33,697,338.25/5,742.61
  6. Step 6: Final answer
    x = 5,867.95

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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.