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Finding the Fourth Proportional to 15,106, 22,669.24 and 5,378

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Solution

The fourth proportional to 15,106, 22,669.24 and 5,378 is: 8,070.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,106 : 22,669.24 = 5,378 : x
  2. Step 2: Convert to fraction form
    15,106/22,669.24 = 5,378/x
  3. Step 3: Cross multiply
    15,106x = 22,669.24 × 5,378
  4. Step 4: Simplify right side
    15,106x = 121,915,172.72
  5. Step 5: Solve for x
    x = 121,915,172.72/15,106
  6. Step 6: Final answer
    x = 8,070.65

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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.