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Finding the Fourth Proportional to 7,143.60, 9,861.48 and 5,375.84

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Solution

The fourth proportional to 7,143.60, 9,861.48 and 5,375.84 is: 7,421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.60 : 9,861.48 = 5,375.84 : x
  2. Step 2: Convert to fraction form
    7,143.60/9,861.48 = 5,375.84/x
  3. Step 3: Cross multiply
    7,143.60x = 9,861.48 × 5,375.84
  4. Step 4: Simplify right side
    7,143.60x = 53,013,738.64
  5. Step 5: Solve for x
    x = 53,013,738.64/7,143.60
  6. Step 6: Final answer
    x = 7,421.15

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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.