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Finding the Fourth Proportional to 15,313, 22,978.14 and 7,105

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Solution

The fourth proportional to 15,313, 22,978.14 and 7,105 is: 10,661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,313 : 22,978.14 = 7,105 : x
  2. Step 2: Convert to fraction form
    15,313/22,978.14 = 7,105/x
  3. Step 3: Cross multiply
    15,313x = 22,978.14 × 7,105
  4. Step 4: Simplify right side
    15,313x = 163,259,684.70
  5. Step 5: Solve for x
    x = 163,259,684.70/15,313
  6. Step 6: Final answer
    x = 10,661.51

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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.