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Finding the Fourth Proportional to 31,099.70, 46,635.51 and 8,908

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Solution

The fourth proportional to 31,099.70, 46,635.51 and 8,908 is: 13,357.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,099.70 : 46,635.51 = 8,908 : x
  2. Step 2: Convert to fraction form
    31,099.70/46,635.51 = 8,908/x
  3. Step 3: Cross multiply
    31,099.70x = 46,635.51 × 8,908
  4. Step 4: Simplify right side
    31,099.70x = 415,429,123.08
  5. Step 5: Solve for x
    x = 415,429,123.08/31,099.70
  6. Step 6: Final answer
    x = 13,357.98

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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.