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Finding the Fourth Proportional to 7,855.60, 10,839.42 and 5,206.60

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Solution

The fourth proportional to 7,855.60, 10,839.42 and 5,206.60 is: 7,184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.60 : 10,839.42 = 5,206.60 : x
  2. Step 2: Convert to fraction form
    7,855.60/10,839.42 = 5,206.60/x
  3. Step 3: Cross multiply
    7,855.60x = 10,839.42 × 5,206.60
  4. Step 4: Simplify right side
    7,855.60x = 56,436,524.17
  5. Step 5: Solve for x
    x = 56,436,524.17/7,855.60
  6. Step 6: Final answer
    x = 7,184.24

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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.