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Finding the Fourth Proportional to 1,904.93, 2,858.82 and 810.06

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Solution

The fourth proportional to 1,904.93, 2,858.82 and 810.06 is: 1,215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.93 : 2,858.82 = 810.06 : x
  2. Step 2: Convert to fraction form
    1,904.93/2,858.82 = 810.06/x
  3. Step 3: Cross multiply
    1,904.93x = 2,858.82 × 810.06
  4. Step 4: Simplify right side
    1,904.93x = 2,315,815.73
  5. Step 5: Solve for x
    x = 2,315,815.73/1,904.93
  6. Step 6: Final answer
    x = 1,215.70

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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.