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Finding the Fourth Proportional to 4,608.72, 6,915.72 and 1,686.64

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Solution

The fourth proportional to 4,608.72, 6,915.72 and 1,686.64 is: 2,530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.72 : 6,915.72 = 1,686.64 : x
  2. Step 2: Convert to fraction form
    4,608.72/6,915.72 = 1,686.64/x
  3. Step 3: Cross multiply
    4,608.72x = 6,915.72 × 1,686.64
  4. Step 4: Simplify right side
    4,608.72x = 11,664,329.98
  5. Step 5: Solve for x
    x = 11,664,329.98/4,608.72
  6. Step 6: Final answer
    x = 2,530.93

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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.