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Finding the Fourth Proportional to 7,141.84, 9,855.26 and 4,157.18

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Solution

The fourth proportional to 7,141.84, 9,855.26 and 4,157.18 is: 5,736.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.84 : 9,855.26 = 4,157.18 : x
  2. Step 2: Convert to fraction form
    7,141.84/9,855.26 = 4,157.18/x
  3. Step 3: Cross multiply
    7,141.84x = 9,855.26 × 4,157.18
  4. Step 4: Simplify right side
    7,141.84x = 40,970,089.77
  5. Step 5: Solve for x
    x = 40,970,089.77/7,141.84
  6. Step 6: Final answer
    x = 5,736.63

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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.