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Finding the Fourth Proportional to 4,927.28, 7,391 and 1,640.32

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Solution

The fourth proportional to 4,927.28, 7,391 and 1,640.32 is: 2,460.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.28 : 7,391 = 1,640.32 : x
  2. Step 2: Convert to fraction form
    4,927.28/7,391 = 1,640.32/x
  3. Step 3: Cross multiply
    4,927.28x = 7,391 × 1,640.32
  4. Step 4: Simplify right side
    4,927.28x = 12,123,605.12
  5. Step 5: Solve for x
    x = 12,123,605.12/4,927.28
  6. Step 6: Final answer
    x = 2,460.51

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1.5x scale

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.