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Finding the Fourth Proportional to 15,937, 21,993.06 and 9,313

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Solution

The fourth proportional to 15,937, 21,993.06 and 9,313 is: 12,851.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,937 : 21,993.06 = 9,313 : x
  2. Step 2: Convert to fraction form
    15,937/21,993.06 = 9,313/x
  3. Step 3: Cross multiply
    15,937x = 21,993.06 × 9,313
  4. Step 4: Simplify right side
    15,937x = 204,821,367.78
  5. Step 5: Solve for x
    x = 204,821,367.78/15,937
  6. Step 6: Final answer
    x = 12,851.94

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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.