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Finding the Fourth Proportional to 8,428.42, 11,631.13 and 4,651.63

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Solution

The fourth proportional to 8,428.42, 11,631.13 and 4,651.63 is: 6,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,428.42 : 11,631.13 = 4,651.63 : x
  2. Step 2: Convert to fraction form
    8,428.42/11,631.13 = 4,651.63/x
  3. Step 3: Cross multiply
    8,428.42x = 11,631.13 × 4,651.63
  4. Step 4: Simplify right side
    8,428.42x = 54,103,713.24
  5. Step 5: Solve for x
    x = 54,103,713.24/8,428.42
  6. Step 6: Final answer
    x = 6,419.20

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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.