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Finding the Fourth Proportional to 7,431.28, 10,254 and 4,446.72

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Solution

The fourth proportional to 7,431.28, 10,254 and 4,446.72 is: 6,135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,431.28 : 10,254 = 4,446.72 : x
  2. Step 2: Convert to fraction form
    7,431.28/10,254 = 4,446.72/x
  3. Step 3: Cross multiply
    7,431.28x = 10,254 × 4,446.72
  4. Step 4: Simplify right side
    7,431.28x = 45,596,666.88
  5. Step 5: Solve for x
    x = 45,596,666.88/7,431.28
  6. Step 6: Final answer
    x = 6,135.78

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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.