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Finding the Fourth Proportional to 7,144.84, 9,858.14 and 4,158.88

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Solution

The fourth proportional to 7,144.84, 9,858.14 and 4,158.88 is: 5,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.84 : 9,858.14 = 4,158.88 : x
  2. Step 2: Convert to fraction form
    7,144.84/9,858.14 = 4,158.88/x
  3. Step 3: Cross multiply
    7,144.84x = 9,858.14 × 4,158.88
  4. Step 4: Simplify right side
    7,144.84x = 40,998,751.20
  5. Step 5: Solve for x
    x = 40,998,751.20/7,144.84
  6. Step 6: Final answer
    x = 5,738.24

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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.