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Finding the Fourth Proportional to 1,857.84, 2,564.41 and 1,228.92

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Solution

The fourth proportional to 1,857.84, 2,564.41 and 1,228.92 is: 1,696.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.84 : 2,564.41 = 1,228.92 : x
  2. Step 2: Convert to fraction form
    1,857.84/2,564.41 = 1,228.92/x
  3. Step 3: Cross multiply
    1,857.84x = 2,564.41 × 1,228.92
  4. Step 4: Simplify right side
    1,857.84x = 3,151,458.78
  5. Step 5: Solve for x
    x = 3,151,458.78/1,857.84
  6. Step 6: Final answer
    x = 1,696.31

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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.