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Finding the Fourth Proportional to 31,206, 46,816.68 and 9,318

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Solution

The fourth proportional to 31,206, 46,816.68 and 9,318 is: 13,979.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,206 : 46,816.68 = 9,318 : x
  2. Step 2: Convert to fraction form
    31,206/46,816.68 = 9,318/x
  3. Step 3: Cross multiply
    31,206x = 46,816.68 × 9,318
  4. Step 4: Simplify right side
    31,206x = 436,237,824.24
  5. Step 5: Solve for x
    x = 436,237,824.24/31,206
  6. Step 6: Final answer
    x = 13,979.29

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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.