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Finding the Fourth Proportional to 15,146.88, 22,722.84 and 4,758

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Solution

The fourth proportional to 15,146.88, 22,722.84 and 4,758 is: 7,137.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146.88 : 22,722.84 = 4,758 : x
  2. Step 2: Convert to fraction form
    15,146.88/22,722.84 = 4,758/x
  3. Step 3: Cross multiply
    15,146.88x = 22,722.84 × 4,758
  4. Step 4: Simplify right side
    15,146.88x = 108,115,272.72
  5. Step 5: Solve for x
    x = 108,115,272.72/15,146.88
  6. Step 6: Final answer
    x = 7,137.79

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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.