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Finding the Fourth Proportional to 4,927.52, 7,392.18 and 1,640.30

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Solution

The fourth proportional to 4,927.52, 7,392.18 and 1,640.30 is: 2,460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.52 : 7,392.18 = 1,640.30 : x
  2. Step 2: Convert to fraction form
    4,927.52/7,392.18 = 1,640.30/x
  3. Step 3: Cross multiply
    4,927.52x = 7,392.18 × 1,640.30
  4. Step 4: Simplify right side
    4,927.52x = 12,125,392.85
  5. Step 5: Solve for x
    x = 12,125,392.85/4,927.52
  6. Step 6: Final answer
    x = 2,460.75

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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.