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Finding the Fourth Proportional to 5,141.55, 7,713.14 and 1,855.45

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Solution

The fourth proportional to 5,141.55, 7,713.14 and 1,855.45 is: 2,783.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.55 : 7,713.14 = 1,855.45 : x
  2. Step 2: Convert to fraction form
    5,141.55/7,713.14 = 1,855.45/x
  3. Step 3: Cross multiply
    5,141.55x = 7,713.14 × 1,855.45
  4. Step 4: Simplify right side
    5,141.55x = 14,311,317.05
  5. Step 5: Solve for x
    x = 14,311,317.05/5,141.55
  6. Step 6: Final answer
    x = 2,783.46

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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.