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Finding the Fourth Proportional to 4,927.53, 7,391.38 and 1,640.57

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Solution

The fourth proportional to 4,927.53, 7,391.38 and 1,640.57 is: 2,460.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.53 : 7,391.38 = 1,640.57 : x
  2. Step 2: Convert to fraction form
    4,927.53/7,391.38 = 1,640.57/x
  3. Step 3: Cross multiply
    4,927.53x = 7,391.38 × 1,640.57
  4. Step 4: Simplify right side
    4,927.53x = 12,126,068.08
  5. Step 5: Solve for x
    x = 12,126,068.08/4,927.53
  6. Step 6: Final answer
    x = 2,460.88

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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.