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Finding the Fourth Proportional to 15,676.16, 23,518 and 5,146.80

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Solution

The fourth proportional to 15,676.16, 23,518 and 5,146.80 is: 7,721.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676.16 : 23,518 = 5,146.80 : x
  2. Step 2: Convert to fraction form
    15,676.16/23,518 = 5,146.80/x
  3. Step 3: Cross multiply
    15,676.16x = 23,518 × 5,146.80
  4. Step 4: Simplify right side
    15,676.16x = 121,042,442.40
  5. Step 5: Solve for x
    x = 121,042,442.40/15,676.16
  6. Step 6: Final answer
    x = 7,721.43

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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.