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Finding the Fourth Proportional to 28,406.70, 42,613.17 and 7,631.82

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Solution

The fourth proportional to 28,406.70, 42,613.17 and 7,631.82 is: 11,448.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,406.70 : 42,613.17 = 7,631.82 : x
  2. Step 2: Convert to fraction form
    28,406.70/42,613.17 = 7,631.82/x
  3. Step 3: Cross multiply
    28,406.70x = 42,613.17 × 7,631.82
  4. Step 4: Simplify right side
    28,406.70x = 325,216,043.07
  5. Step 5: Solve for x
    x = 325,216,043.07/28,406.70
  6. Step 6: Final answer
    x = 11,448.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.