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Finding the Fourth Proportional to 2,857.12, 3,943.56 and 1,809.76

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Solution

The fourth proportional to 2,857.12, 3,943.56 and 1,809.76 is: 2,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.12 : 3,943.56 = 1,809.76 : x
  2. Step 2: Convert to fraction form
    2,857.12/3,943.56 = 1,809.76/x
  3. Step 3: Cross multiply
    2,857.12x = 3,943.56 × 1,809.76
  4. Step 4: Simplify right side
    2,857.12x = 7,136,897.15
  5. Step 5: Solve for x
    x = 7,136,897.15/2,857.12
  6. Step 6: Final answer
    x = 2,497.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.