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Finding the Fourth Proportional to 31,286.72, 46,930.12 and 7,913.16

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Solution

The fourth proportional to 31,286.72, 46,930.12 and 7,913.16 is: 11,869.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,286.72 : 46,930.12 = 7,913.16 : x
  2. Step 2: Convert to fraction form
    31,286.72/46,930.12 = 7,913.16/x
  3. Step 3: Cross multiply
    31,286.72x = 46,930.12 × 7,913.16
  4. Step 4: Simplify right side
    31,286.72x = 371,365,528.60
  5. Step 5: Solve for x
    x = 371,365,528.60/31,286.72
  6. Step 6: Final answer
    x = 11,869.75

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1.5x scale

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.