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Finding the Fourth Proportional to 1,904.29, 2,857.14 and 809.51

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Solution

The fourth proportional to 1,904.29, 2,857.14 and 809.51 is: 1,214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.29 : 2,857.14 = 809.51 : x
  2. Step 2: Convert to fraction form
    1,904.29/2,857.14 = 809.51/x
  3. Step 3: Cross multiply
    1,904.29x = 2,857.14 × 809.51
  4. Step 4: Simplify right side
    1,904.29x = 2,312,869.12
  5. Step 5: Solve for x
    x = 2,312,869.12/1,904.29
  6. Step 6: Final answer
    x = 1,214.56

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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.