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Finding the Fourth Proportional to 2,557.70, 3,828.45 and 2,476.70

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Solution

The fourth proportional to 2,557.70, 3,828.45 and 2,476.70 is: 3,707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.70 : 3,828.45 = 2,476.70 : x
  2. Step 2: Convert to fraction form
    2,557.70/3,828.45 = 2,476.70/x
  3. Step 3: Cross multiply
    2,557.70x = 3,828.45 × 2,476.70
  4. Step 4: Simplify right side
    2,557.70x = 9,481,922.12
  5. Step 5: Solve for x
    x = 9,481,922.12/2,557.70
  6. Step 6: Final answer
    x = 3,707.21

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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.