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Finding the Fourth Proportional to 7,171.00, 9,895.10 and 4,184.66

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Solution

The fourth proportional to 7,171.00, 9,895.10 and 4,184.66 is: 5,774.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.00 : 9,895.10 = 4,184.66 : x
  2. Step 2: Convert to fraction form
    7,171.00/9,895.10 = 4,184.66/x
  3. Step 3: Cross multiply
    7,171.00x = 9,895.10 × 4,184.66
  4. Step 4: Simplify right side
    7,171.00x = 41,407,632.98
  5. Step 5: Solve for x
    x = 41,407,632.98/7,171.00
  6. Step 6: Final answer
    x = 5,774.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.