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Finding the Fourth Proportional to 2,805.93, 4,206.87 and 857.07

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Solution

The fourth proportional to 2,805.93, 4,206.87 and 857.07 is: 1,284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.93 : 4,206.87 = 857.07 : x
  2. Step 2: Convert to fraction form
    2,805.93/4,206.87 = 857.07/x
  3. Step 3: Cross multiply
    2,805.93x = 4,206.87 × 857.07
  4. Step 4: Simplify right side
    2,805.93x = 3,605,582.07
  5. Step 5: Solve for x
    x = 3,605,582.07/2,805.93
  6. Step 6: Final answer
    x = 1,284.99

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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.