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Finding the Fourth Proportional to 7,118.40, 10,688.40 and 4,936.80

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Solution

The fourth proportional to 7,118.40, 10,688.40 and 4,936.80 is: 7,412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.40 : 10,688.40 = 4,936.80 : x
  2. Step 2: Convert to fraction form
    7,118.40/10,688.40 = 4,936.80/x
  3. Step 3: Cross multiply
    7,118.40x = 10,688.40 × 4,936.80
  4. Step 4: Simplify right side
    7,118.40x = 52,766,493.12
  5. Step 5: Solve for x
    x = 52,766,493.12/7,118.40
  6. Step 6: Final answer
    x = 7,412.69

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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.