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Finding the Fourth Proportional to 2,804.91, 4,207.38 and 857.13

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Solution

The fourth proportional to 2,804.91, 4,207.38 and 857.13 is: 1,285.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.91 : 4,207.38 = 857.13 : x
  2. Step 2: Convert to fraction form
    2,804.91/4,207.38 = 857.13/x
  3. Step 3: Cross multiply
    2,804.91x = 4,207.38 × 857.13
  4. Step 4: Simplify right side
    2,804.91x = 3,606,271.62
  5. Step 5: Solve for x
    x = 3,606,271.62/2,804.91
  6. Step 6: Final answer
    x = 1,285.70

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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.